58315075728 has 320 divisors, whose sum is σ = 198387302400. Its totient is φ = 14330234880.

The previous prime is 58315075723. The next prime is 58315075739. The reversal of 58315075728 is 82757051385.

It is not an unprimeable number, because it can be changed into a prime (58315075723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5056753 + ... + 5068271.

It is an arithmetic number, because the mean of its divisors is an integer number (619960320).

Almost surely, 2^58315075728 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 58315075728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99193651200).

58315075728 is an abundant number, since it is smaller than the sum of its proper divisors (140072226672).

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

58315075728 is a wasteful number, since it uses less digits than its factorization.

58315075728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11630 (or 11624 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 51.

The spelling of 58315075728 in words is "fifty-eight billion, three hundred fifteen million, seventy-five thousand, seven hundred twenty-eight".