57363768 has 128 divisors (see below), whose sum is σ = 198720000. Its totient is φ = 14895360.

The previous prime is 57363751. The next prime is 57363773. The reversal of 57363768 is 86736375.

57363768 is a `hidden beast` number, since 5 + 7 + 3 + 637 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14908 + ... + 18356.

It is an arithmetic number, because the mean of its divisors is an integer number (1552500).

Almost surely, 2^57363768 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 57363768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99360000).

57363768 is an abundant number, since it is smaller than the sum of its proper divisors (141356232).

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

57363768 is a wasteful number, since it uses less digits than its factorization.

57363768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3472 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 57363768 is about 7573.8872450017. The cubic root of 57363768 is about 385.6670686470.

The spelling of 57363768 in words is "fifty-seven million, three hundred sixty-three thousand, seven hundred sixty-eight".