57749498928 has 480 divisors, whose sum is σ = 193873305600. Its totient is φ = 15850598400.

The previous prime is 57749498927. The next prime is 57749498981. The reversal of 57749498928 is 82989494775.

57749498928 is a `hidden beast` number, since 5 + 7 + 7 + 49 + 498 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (57749498927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110843308 + ... + 110843828.

It is an arithmetic number, because the mean of its divisors is an integer number (403902720).

Almost surely, 2^57749498928 is an apocalyptic number.

57749498928 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 57749498928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96936652800).

57749498928 is an abundant number, since it is smaller than the sum of its proper divisors (136123806672).

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

57749498928 is a wasteful number, since it uses less digits than its factorization.

57749498928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 712 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 57749498928 in words is "fifty-seven billion, seven hundred forty-nine million, four hundred ninety-eight thousand, nine hundred twenty-eight".