57427968 has 96 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 17645568.

The previous prime is 57427963. The next prime is 57427969. The reversal of 57427968 is 86972475.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57427961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79513 + ... + 80231.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^57427968 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 57427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

57427968 is an abundant number, since it is smaller than the sum of its proper divisors (107682432).

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

57427968 is a wasteful number, since it uses less digits than its factorization.

57427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 57427968 is about 7578.1243061855. The cubic root of 57427968 is about 385.8108911071.

The spelling of 57427968 in words is "fifty-seven million, four hundred twenty-seven thousand, nine hundred sixty-eight".