58407968 has 48 divisors (see below), whose sum is σ = 120121344. Its totient is φ = 27924480.

The previous prime is 58407967. The next prime is 58407989. The reversal of 58407968 is 86970485.

58407968 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 2×58407968² = 6822981451778048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58407967) 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 7 ways as a sum of consecutive naturals, for example, 95921 + ... + 96527.

It is an arithmetic number, because the mean of its divisors is an integer number (2502528).

Almost surely, 2^58407968 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 58407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060672).

58407968 is an abundant number, since it is smaller than the sum of its proper divisors (61713376).

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

58407968 is a wasteful number, since it uses less digits than its factorization.

58407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 58407968 is about 7642.5105822629. The cubic root of 58407968 is about 387.9931270260.

The spelling of 58407968 in words is "fifty-eight million, four hundred seven thousand, nine hundred sixty-eight".