528
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 1488
- Proper Divisor Sum (Aliquot Sum)
- 960
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 160
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- 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
- 30
- 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
- fünfhundertachtundzwanzig· ordinal: fünfhundertachtundzwanzigste
- English
- five hundred twenty-eight· ordinal: five hundred twenty-eighth
- Spanish
- quinientos veintiocho· ordinal: 528º
- French
- cinq cent vingt-huit· ordinal: cinq cent vingt-huitième
- Italian
- cinquecentoventotto· ordinal: 528º
- Latin
- quingenti viginti octo· ordinal: 528.
- Portuguese
- quinhentos e vinte e oito· ordinal: 528º
Appears in sequences
- Number of n-node rooted trees of height 4.at n=10A000299
- 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=34A001033
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=25A001172
- a(n) = (2^n + 2^[ n/2 ] )/2.at n=8A001445
- Related to Zarankiewicz's problem.at n=30A001841
- High temperature series for spin-1/2 Heisenberg susceptibility on 3-dimensional simple cubic lattice.at n=2A002170
- Numbers k such that the k-th tetrahedral number is the sum of 2 tetrahedral numbers.at n=17A002311
- Coefficients for step-by-step integration.at n=2A002403
- Number of integral points in a certain sequence of open quadrilaterals.at n=36A002578
- A generalized partition function.at n=10A002599
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=20A002798
- Dimensions of split simple Lie algebras over any field of characteristic zero.at n=51A003038
- Beginnings of periodic unitary aliquot sequences.at n=43A003062
- Numbers which are the sum of 3 nonzero 4th powers.at n=17A003337
- a(n) = 2^(n-1)*(2^n - (-1)^n).at n=5A003674
- a(n) = floor(100*log_2(n)).at n=38A004262
- Binomial coefficient C(3n,n-9).at n=2A004327
- Numbers that are the sum of at most 3 nonzero 4th powers.at n=32A004832
- Numbers that are the sum of at most 4 nonzero 4th powers.at n=57A004833
- Triangular numbers together with squares (excluding 0).at n=51A005214