57132768 has 192 divisors, whose sum is σ = 191600640. Its totient is φ = 14476800.

The previous prime is 57132763. The next prime is 57132787. The reversal of 57132768 is 86723175.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57132763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436063 + ... + 436193.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 2^57132768 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 57132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

57132768 is an abundant number, since it is smaller than the sum of its proper divisors (134467872).

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

57132768 is a wasteful number, since it uses less digits than its factorization.

57132768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 57132768 is about 7558.6220966523. The cubic root of 57132768 is about 385.1486871583.

It can be divided in two parts, 57132 and 768, that multiplied together give a square (43877376 = 6624²).

The spelling of 57132768 in words is "fifty-seven million, one hundred thirty-two thousand, seven hundred sixty-eight".