285713568 has 288 divisors, whose sum is σ = 1001669760. Its totient is φ = 78382080.

The previous prime is 285713563. The next prime is 285713579. The reversal of 285713568 is 865317582.

285713568 is a `hidden beast` number, since 2 + 85 + 7 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (285713563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578438 + ... + 1578618.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2^285713568 is an apocalyptic number.

285713568 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 285713568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500834880).

285713568 is an abundant number, since it is smaller than the sum of its proper divisors (715956192).

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

285713568 is a wasteful number, since it uses less digits than its factorization.

285713568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 222 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 285713568 is about 16903.0638642821. The cubic root of 285713568 is about 658.6332045119.

The spelling of 285713568 in words is "two hundred eighty-five million, seven hundred thirteen thousand, five hundred sixty-eight".