57728968 has 32 divisors (see below), whose sum is σ = 119316960. Its totient is φ = 25966080.

The previous prime is 57728959. The next prime is 57728971. The reversal of 57728968 is 86982775.

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, 5155 + ... + 11917.

It is an arithmetic number, because the mean of its divisors is an integer number (3728655).

Almost surely, 2^57728968 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 57728968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59658480).

57728968 is an abundant number, since it is smaller than the sum of its proper divisors (61587992).

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

57728968 is a wasteful number, since it uses less digits than its factorization.

57728968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6873 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The square root of 57728968 is about 7597.9581467655. The cubic root of 57728968 is about 386.4837733280.

The spelling of 57728968 in words is "fifty-seven million, seven hundred twenty-eight thousand, nine hundred sixty-eight".