57728087332608 has 432 divisors, whose sum is σ = 199229430622208. Its totient is φ = 14510615961600.

The previous prime is 57728087332579. The next prime is 57728087332631. The reversal of 57728087332608 is 80623378082775.

It is a super-3 number, since 3×57728087332608³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18734010 + ... + 21596742.

Almost surely, 2^{57728087332608} 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 57728087332608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99614715311104).

57728087332608 is an abundant number, since it is smaller than the sum of its proper divisors (141501343289600).

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

57728087332608 is a wasteful number, since it uses less digits than its factorization.

57728087332608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862812 (or 2862787 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 66.

The spelling of 57728087332608 in words is "fifty-seven trillion, seven hundred twenty-eight billion, eighty-seven million, three hundred thirty-two thousand, six hundred eight".