57268320 has 96 divisors (see below), whose sum is σ = 181530720. Its totient is φ = 15175680.

The previous prime is 57268297. The next prime is 57268331. The reversal of 57268320 is 2386275.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109660 + ... + 110180.

It is an arithmetic number, because the mean of its divisors is an integer number (1890945).

Almost surely, 2^57268320 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 57268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90765360).

57268320 is an abundant number, since it is smaller than the sum of its proper divisors (124262400).

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

57268320 is a wasteful number, since it uses less digits than its factorization.

57268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 57268320 is about 7567.5834980527. The cubic root of 57268320 is about 385.4530451305.

The spelling of 57268320 in words is "fifty-seven million, two hundred sixty-eight thousand, three hundred twenty".