57872896 has 80 divisors (see below), whose sum is σ = 125583480. Its totient is φ = 26542080.

The previous prime is 57872851. The next prime is 57872911. The reversal of 57872896 is 69827875.

It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 10758400 = 6864^2 + 3280^2 .

Its product of digits (1693440) is a multiple of the sum of its prime divisors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530890 + ... + 530998.

Almost surely, 2^57872896 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 57872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791740).

57872896 is an abundant number, since it is smaller than the sum of its proper divisors (67710584).

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

57872896 is a wasteful number, since it uses less digits than its factorization.

57872896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The square root of 57872896 is about 7607.4237426346. The cubic root of 57872896 is about 386.8046963943.

The spelling of 57872896 in words is "fifty-seven million, eight hundred seventy-two thousand, eight hundred ninety-six".