57288640 has 56 divisors (see below), whose sum is σ = 144456912. Its totient is φ = 21565440.

The previous prime is 57288619. The next prime is 57288683. The reversal of 57288640 is 4688275.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 57288593 and 57288602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 10705.

Almost surely, 2^57288640 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 57288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72228456).

57288640 is an abundant number, since it is smaller than the sum of its proper divisors (87168272).

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

57288640 is a wasteful number, since it uses less digits than its factorization.

57288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10565 (or 10555 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 57288640 is about 7568.9259475833. The cubic root of 57288640 is about 385.4986286788.

The spelling of 57288640 in words is "fifty-seven million, two hundred eighty-eight thousand, six hundred forty".