58638944 has 72 divisors (see below), whose sum is σ = 142959600. Its totient is φ = 23182848.

The previous prime is 58638913. The next prime is 58638953. The reversal of 58638944 is 44983685.

58638944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37082 + ... + 38630.

It is an arithmetic number, because the mean of its divisors is an integer number (1985550).

Almost surely, 2^58638944 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 58638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71479800).

58638944 is an abundant number, since it is smaller than the sum of its proper divisors (84320656).

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

58638944 is a wasteful number, since it uses less digits than its factorization.

58638944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1571 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 58638944 is about 7657.6069368961. The cubic root of 58638944 is about 388.5038976810.

The spelling of 58638944 in words is "fifty-eight million, six hundred thirty-eight thousand, nine hundred forty-four".