57488256 has 96 divisors (see below), whose sum is σ = 189087600. Its totient is φ = 16422912.

The previous prime is 57488251. The next prime is 57488257. The reversal of 57488256 is 65288475.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57488251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 11628.

Almost surely, 2^57488256 is an apocalyptic number.

57488256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57488256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94543800).

57488256 is an abundant number, since it is smaller than the sum of its proper divisors (131599344).

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

57488256 is a wasteful number, since it uses less digits than its factorization.

57488256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7141 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 57488256 is about 7582.1010280792. The cubic root of 57488256 is about 385.9458522487.

The spelling of 57488256 in words is "fifty-seven million, four hundred eighty-eight thousand, two hundred fifty-six".