57288 has 64 divisors (see below), whose sum is σ = 184320. Its totient is φ = 14400.

The previous prime is 57287. The next prime is 57301. The reversal of 57288 is 88275.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

57288 is a Friedman number, since it can be written as (2^(8+5)-8)*7, using all its digits and the basic arithmetic operations.

2⁵⁷²⁸⁸ 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 57288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

57288 is an abundant number, since it is smaller than the sum of its proper divisors (127032).

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

57288 is a wasteful number, since it uses less digits than its factorization.

57288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 54 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 57288 is about 239.3491173997. The cubic root of 57288 is about 38.5497193141.

The spelling of 57288 in words is "fifty-seven thousand, two hundred eighty-eight".