57276688 has 60 divisors (see below), whose sum is σ = 132171600. Its totient is φ = 23962176.

The previous prime is 57276679. The next prime is 57276707. The reversal of 57276688 is 88667275.

57276688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (1128960) is a multiple of the sum of its prime factors (1764).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32863 + ... + 34561.

It is an arithmetic number, because the mean of its divisors is an integer number (2202860).

Almost surely, 2^57276688 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 57276688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66085800).

57276688 is an abundant number, since it is smaller than the sum of its proper divisors (74894912).

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

57276688 is a wasteful number, since it uses less digits than its factorization.

57276688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1751 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

The square root of 57276688 is about 7568.1363624079. The cubic root of 57276688 is about 385.4718182438.

The spelling of 57276688 in words is "fifty-seven million, two hundred seventy-six thousand, six hundred eighty-eight".