828
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 2184
- Proper Divisor Sum (Aliquot Sum)
- 1356
- 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
- 264
- Möbius Function
- 0
- Radical
- 138
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 90
- 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
- achthundertachtundzwanzig· ordinal: achthundertachtundzwanzigste
- English
- eight hundred twenty-eight· ordinal: eight hundred twenty-eighth
- Spanish
- ochocientos veintiocho· ordinal: 828º
- French
- huit cent vingt-huit· ordinal: huit cent vingt-huitième
- Italian
- ottocentoventotto· ordinal: 828º
- Latin
- octingenti viginti octo· ordinal: 828.
- Portuguese
- oitocentos e vinte e oito· ordinal: 828º
Appears in sequences
- Number of compositions of n into 3 ordered relatively prime parts.at n=44A000741
- Numbers beginning with letter 'e' in English.at n=41A000873
- Expansion of g.f. (1 + x + 2*x^2)/((1 - x)^2*(1 - x^3)).at n=34A000969
- Double-bitters: only even length runs in binary expansion.at n=22A001196
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=25A003219
- Numbers that are the sum of 9 positive 5th powers.at n=30A003354
- a(1) = 1; for n>1, a(n) = a(n-1) + 1 + sum of distinct prime factors of a(n-1) that are < a(n-1).at n=38A003508
- Symmetries in unrooted 3-trees on n+1 vertices.at n=12A003612
- Numbers that are a sum of distinct positive cubes in more than one way.at n=19A003998
- Number of entries in first n rows of Pascal's triangle not divisible by 3.at n=67A006048
- McKay-Thompson series of class 6c for Monster.at n=11A007262
- Coordination sequence T8 for Zeolite Code PAU.at n=21A008226
- Coordination sequence T4 for Zeolite Code TON.at n=18A008244
- Coordination sequence for {E_6}* lattice.at n=2A008401
- Multiples of 18.at n=46A008600
- Multiples of 23.at n=36A008605
- Let j = | i - i_written_backwards |, k = j + j_written_backwards; then k is in this sequence.at n=11A008920
- Coordination sequence T4 for Zeolite Code iRON.at n=20A009884
- Coordination sequence T3 for Zeolite Code RTH.at n=20A009895
- Coordination sequence T1 for Zeolite Code RUT.at n=19A009897