57628075752 has 256 divisors, whose sum is σ = 177085440000. Its totient is φ = 17254508544.

The previous prime is 57628075721. The next prime is 57628075759. The reversal of 57628075752 is 25757082675.

57628075752 is a `hidden beast` number, since 5 + 7 + 62 + 8 + 0 + 7 + 575 + 2 = 666.

It is a super-2 number, since 2×57628075752² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57628075759) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18899124 + ... + 18902172.

It is an arithmetic number, because the mean of its divisors is an integer number (691740000).

Almost surely, 2^57628075752 is an apocalyptic number.

57628075752 is a gapful number since it is divisible by the number (52) 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 57628075752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720000).

57628075752 is an abundant number, since it is smaller than the sum of its proper divisors (119457364248).

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

57628075752 is a wasteful number, since it uses less digits than its factorization.

57628075752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 57628075752 in words is "fifty-seven billion, six hundred twenty-eight million, seventy-five thousand, seven hundred fifty-two".