628
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1106
- Proper Divisor Sum (Aliquot Sum)
- 478
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- yes
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 312
- Möbius Function
- 0
- Radical
- 314
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- sechshundertachtundzwanzig· ordinal: sechshundertachtundzwanzigste
- English
- six hundred twenty-eight· ordinal: six hundred twenty-eighth
- Spanish
- seiscientos veintiocho· ordinal: 628º
- French
- six cent vingt-huit· ordinal: six cent vingt-huitième
- Italian
- seicentoventotto· ordinal: 628º
- Latin
- sescenti viginti octo· ordinal: 628.
- Portuguese
- seiscentos e vinte e oito· ordinal: 628º
Appears in sequences
- Partial sums of (unordered) ways of making change for n cents using coins of 1, 2, 5, 10 cents.at n=26A000064
- Number of unrooted nonseparable planar maps with n edges and a distinguished face.at n=7A000087
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=40A001033
- Number of cells of square lattice of edge 1/n inside quadrant of unit circle centered at 0.at n=28A001182
- Powers of 2 written in base 9.at n=9A001357
- Primes multiplied by 4.at n=36A001749
- a(2n) = a(2n-1) + 2a(2n-2), a(2n+1) = a(2n) + a(2n-1), with a(1) = 2 and a(2) = 3.at n=10A001882
- Number of permutations of {1,...,n} having n-4 inversions (n>=4).at n=5A001894
- Sum of totient function: a(n) = Sum_{k=1..n} phi(k), cf. A000010.at n=45A002088
- Number of partitions of at most n into at most 5 parts.at n=17A002622
- Numbers that are the sum of 4 nonzero 4th powers.at n=29A003338
- a(n) = (n+2)*2^(2*n-1) - (n/2)*binomial(2*n,n).at n=4A003583
- Cubes written in base 9.at n=7A004639
- Numbers that are the sum of at most 4 nonzero 4th powers.at n=66A004833
- a(n) = floor(n*phi^6), phi = golden ratio, A001622.at n=35A004921
- a(n) = round(n*phi^6), where phi is the golden ratio, A001622.at n=35A004941
- Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function (A001065).at n=51A005114
- a(n) = C(n,5) + C(n,4) - C(n,3) + 1, n >= 7.at n=5A005288
- a(n) = a(n-1) + sum of digits of a(n-1), a(1) = 5.at n=53A007618
- Coordination sequence T3 for Zeolite Code AFS and BPH.at n=19A008025