57395328 has 64 divisors (see below), whose sum is σ = 153709920. Its totient is φ = 18974720.

The previous prime is 57395311. The next prime is 57395341. The reversal of 57395328 is 82359375.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 57395328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52063 + ... + 53153.

Almost surely, 2^57395328 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 57395328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76854960).

57395328 is an abundant number, since it is smaller than the sum of its proper divisors (96314592).

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

57395328 is a wasteful number, since it uses less digits than its factorization.

57395328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 57395328 is about 7575.9704328884. The cubic root of 57395328 is about 385.7377835577.

The spelling of 57395328 in words is "fifty-seven million, three hundred ninety-five thousand, three hundred twenty-eight".