285364872 has 96 divisors (see below), whose sum is σ = 861096600. Its totient is φ = 84768768.

The previous prime is 285364861. The next prime is 285364903. The reversal of 285364872 is 278463582.

285364872 is a `hidden beast` number, since 2 + 8 + 536 + 48 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93431556 + 191933316 = 9666^2 + 13854^2 .

It is a super-2 number, since 2×285364872² = 162866220343152768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21888 + ... + 32400.

Almost surely, 2^285364872 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 285364872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430548300).

285364872 is an abundant number, since it is smaller than the sum of its proper divisors (575731728).

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

285364872 is a wasteful number, since it uses less digits than its factorization.

285364872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10567 (or 10560 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 285364872 is about 16892.7461355459. The cubic root of 285364872 is about 658.3651548720.

The spelling of 285364872 in words is "two hundred eighty-five million, three hundred sixty-four thousand, eight hundred seventy-two".