58728044928 has 256 divisors, whose sum is σ = 184042598400. Its totient is φ = 16245909504.

The previous prime is 58728044923. The next prime is 58728044929. The reversal of 58728044928 is 82944082785.

58728044928 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 2×58728044928² (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 (58728044923) 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, 10622901 + ... + 10628427.

It is an arithmetic number, because the mean of its divisors is an integer number (718916400).

Almost surely, 2^58728044928 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 58728044928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92021299200).

58728044928 is an abundant number, since it is smaller than the sum of its proper divisors (125314553472).

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

58728044928 is a wasteful number, since it uses less digits than its factorization.

58728044928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 58728044928 in words is "fifty-eight billion, seven hundred twenty-eight million, forty-four thousand, nine hundred twenty-eight".