57553792 has 32 divisors (see below), whose sum is σ = 116616600. Its totient is φ = 28285440.

The previous prime is 57553787. The next prime is 57553799. The reversal of 57553792 is 29735575.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57553799) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3742 + ... + 11362.

Almost surely, 2^57553792 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 57553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58308300).

57553792 is an abundant number, since it is smaller than the sum of its proper divisors (59062808).

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

57553792 is an equidigital number, since it uses as much as digits as its factorization.

57553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7682 counting only the distinct ones).

The product of its digits is 330750, while the sum is 43.

The square root of 57553792 is about 7586.4215543298. The cubic root of 57553792 is about 386.0924546091.

The spelling of 57553792 in words is "fifty-seven million, five hundred fifty-three thousand, seven hundred ninety-two".