285872328 has 320 divisors, whose sum is σ = 1003622400. Its totient is φ = 74183040.

The previous prime is 285872281. The next prime is 285872329. The reversal of 285872328 is 823278582.

285872328 is a `hidden beast` number, since 28 + 587 + 23 + 28 = 666.

It is a super-2 number, since 2×285872328² = 163445975832279168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (285872329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2671651 + ... + 2671757.

It is an arithmetic number, because the mean of its divisors is an integer number (3136320).

Almost surely, 2^285872328 is an apocalyptic number.

285872328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285872328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501811200).

285872328 is an abundant number, since it is smaller than the sum of its proper divisors (717750072).

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

285872328 is a wasteful number, since it uses less digits than its factorization.

285872328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 169 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 285872328 is about 16907.7594021207. The cubic root of 285872328 is about 658.7551742720.

The spelling of 285872328 in words is "two hundred eighty-five million, eight hundred seventy-two thousand, three hundred twenty-eight".