58438768 has 40 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 27808704.

The previous prime is 58438759. The next prime is 58438777. The reversal of 58438768 is 86783485.

It is an interprime number because it is at equal distance from previous prime (58438759) and next prime (58438777).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139263 + ... + 139681.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^58438768 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 58438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

58438768 is an abundant number, since it is smaller than the sum of its proper divisors (60303632).

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

58438768 is a wasteful number, since it uses less digits than its factorization.

58438768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 58438768 is about 7644.5253613289. The cubic root of 58438768 is about 388.0613145741.

The spelling of 58438768 in words is "fifty-eight million, four hundred thirty-eight thousand, seven hundred sixty-eight".