58277728128 has 256 divisors, whose sum is σ = 164202292800. Its totient is φ = 18284937216.

The previous prime is 58277728127. The next prime is 58277728133. The reversal of 58277728128 is 82182777285.

58277728128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58277728128² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58277728127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172930776 + ... + 172931112.

Almost surely, 2^58277728128 is an apocalyptic number.

58277728128 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 58277728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82101146400).

58277728128 is an abundant number, since it is smaller than the sum of its proper divisors (105924564672).

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

58277728128 is a wasteful number, since it uses less digits than its factorization.

58277728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its digits is 7024640, while the sum is 57.

The spelling of 58277728128 in words is "fifty-eight billion, two hundred seventy-seven million, seven hundred twenty-eight thousand, one hundred twenty-eight".