57477768 has 64 divisors (see below), whose sum is σ = 149688000. Its totient is φ = 18369792.

The previous prime is 57477743. The next prime is 57477773. The reversal of 57477768 is 86777475.

It is a super-3 number, since 3×57477768³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57477768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187071 + ... + 187377.

It is an arithmetic number, because the mean of its divisors is an integer number (2338875).

Almost surely, 2^57477768 is an apocalyptic number.

57477768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57477768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844000).

57477768 is an abundant number, since it is smaller than the sum of its proper divisors (92210232).

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

57477768 is a wasteful number, since it uses less digits than its factorization.

57477768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its digits is 2304960, while the sum is 51.

The square root of 57477768 is about 7581.4093676572. The cubic root of 57477768 is about 385.9223805198.

The spelling of 57477768 in words is "fifty-seven million, four hundred seventy-seven thousand, seven hundred sixty-eight".