58005192 has 64 divisors (see below), whose sum is σ = 166348800. Its totient is φ = 16511040.

The previous prime is 58005179. The next prime is 58005193. The reversal of 58005192 is 29150085.

58005192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (58005193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63217 + ... + 64127.

It is an arithmetic number, because the mean of its divisors is an integer number (2599200).

Almost surely, 2^58005192 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 58005192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174400).

58005192 is an abundant number, since it is smaller than the sum of its proper divisors (108343608).

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

58005192 is a wasteful number, since it uses less digits than its factorization.

58005192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 58005192 is about 7616.1139697355. The cubic root of 58005192 is about 387.0992140581.

The spelling of 58005192 in words is "fifty-eight million, five thousand, one hundred ninety-two".