285679872 has 180 divisors, whose sum is σ = 890366400. Its totient is φ = 90934272.

The previous prime is 285679871. The next prime is 285679903. The reversal of 285679872 is 278976582.

It is a happy number.

285679872 is a `hidden beast` number, since 2 + 8 + 567 + 9 + 8 + 72 = 666.

It is a super-2 number, since 2×285679872² = 163225978531872768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (285679871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476629 + ... + 477227.

It is an arithmetic number, because the mean of its divisors is an integer number (4946480).

Almost surely, 2^285679872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445183200).

285679872 is an abundant number, since it is smaller than the sum of its proper divisors (604686528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

285679872 is an equidigital number, since it uses as much as digits as its factorization.

285679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 627 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 285679872 is about 16902.0670925186. The cubic root of 285679872 is about 658.6073112404.

It can be divided in two parts, 2856 and 79872, that added together give a palindrome (82728).

The spelling of 285679872 in words is "two hundred eighty-five million, six hundred seventy-nine thousand, eight hundred seventy-two".