57738768 has 40 divisors (see below), whose sum is σ = 154305600. Its totient is φ = 18582144.

The previous prime is 57738767. The next prime is 57738773. The reversal of 57738768 is 86783775.

It is a self number, because there is not a number n which added to its sum of digits gives 57738768.

It is not an unprimeable number, because it can be changed into a prime (57738761) 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, 19348 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (3857640).

Almost surely, 2^57738768 is an apocalyptic number.

57738768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

57738768 is an abundant number, since it is smaller than the sum of its proper divisors (96566832).

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

57738768 is a wasteful number, since it uses less digits than its factorization.

57738768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41519 (or 41513 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 57738768 is about 7598.6030295048. The cubic root of 57738768 is about 386.5056417638.

It can be divided in two parts, 5773 and 8768, that added together give a palindrome (14541).

The spelling of 57738768 in words is "fifty-seven million, seven hundred thirty-eight thousand, seven hundred sixty-eight".