728
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1680
- Proper Divisor Sum (Aliquot Sum)
- 952
- 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
- 288
- Möbius Function
- 0
- Radical
- 182
- Omega Function (Ω)
- 5
- 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
- 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
- 95
- Smith Number
- yes
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
- siebenhundertachtundzwanzig· ordinal: siebenhundertachtundzwanzigste
- English
- seven hundred twenty-eight· ordinal: seven hundred twenty-eighth
- Spanish
- setecientos veintiocho· ordinal: 728º
- French
- sept cent vingt-huit· ordinal: sept cent vingt-huitième
- Italian
- settecentoventotto· ordinal: 728º
- Latin
- septingenti viginti octo· ordinal: 728.
- Portuguese
- setecentos e vinte e oito· ordinal: 728º
Appears in sequences
- Number of n-node rooted trees of height 8.at n=12A000429
- Fermat coefficients.at n=5A000971
- Number of connected labeled graphs with n nodes.at n=5A001187
- Numbers that are the sum of 4 cubes in more than 1 way.at n=40A001245
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=27A001305
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=55A001310
- Number of ways of making change for n cents using coins of 1, 2, 4, 10, 20, 40, 100 cents.at n=54A001310
- Numbers k such that phi(k) = phi(k+2).at n=18A001494
- Expansion of (1-4*x)^(7/2).at n=11A002423
- Number of different ways one can attack all squares on an n X n chessboard with the smallest number of non-attacking queens needed.at n=7A002568
- a(n) = Sum_{k=0..n} binomial(n,k^2).at n=12A003099
- Numbers that are the sum of 2 positive cubes.at n=33A003325
- Degrees of irreducible representations of group L3(9).at n=41A003899
- Degrees of irreducible representations of group L3(9).at n=40A003899
- Degrees of irreducible representations of group L3(9).at n=42A003899
- Degrees of irreducible representations of group L3(9).at n=39A003899
- Degrees of irreducible representations of group L3(9).at n=43A003899
- Numbers that are a sum of distinct positive cubes in more than one way.at n=9A003998
- Numerators of expansion of (1-x)^(-1/3).at n=6A004117
- Expansion of (1+2*x+x^2)/(1-26*x+x^2).at n=2A004293