58078128 has 80 divisors (see below), whose sum is σ = 161703936. Its totient is φ = 17909760.

The previous prime is 58078127. The next prime is 58078129. The reversal of 58078128 is 82187085.

It is an interprime number because it is at equal distance from previous prime (58078127) and next prime (58078129).

It is not an unprimeable number, because it can be changed into a prime (58078121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33376 + ... + 35072.

Almost surely, 2^58078128 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 58078128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80851968).

58078128 is an abundant number, since it is smaller than the sum of its proper divisors (103625808).

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

58078128 is a wasteful number, since it uses less digits than its factorization.

58078128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 58078128 is about 7620.9007341652. The cubic root of 58078128 is about 387.2613928903.

The spelling of 58078128 in words is "fifty-eight million, seventy-eight thousand, one hundred twenty-eight".