57188768 has 96 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 22026240.

The previous prime is 57188737. The next prime is 57188771. The reversal of 57188768 is 86788175.

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, 119153 + ... + 119631.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 2^57188768 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 57188768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

57188768 is an abundant number, since it is smaller than the sum of its proper divisors (85060192).

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

57188768 is a wasteful number, since it uses less digits than its factorization.

57188768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its digits is 752640, while the sum is 50.

The square root of 57188768 is about 7562.3255682363. The cubic root of 57188768 is about 385.2744835222.

The spelling of 57188768 in words is "fifty-seven million, one hundred eighty-eight thousand, seven hundred sixty-eight".