58928480 has 96 divisors (see below), whose sum is σ = 153806688. Its totient is φ = 21196800.

The previous prime is 58928479. The next prime is 58928491. The reversal of 58928480 is 8482985.

It is a super-2 number, since 2×58928480² = 6945131510220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84935 + ... + 85625.

It is an arithmetic number, because the mean of its divisors is an integer number (1602153).

Almost surely, 2^58928480 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 58928480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76903344).

58928480 is an abundant number, since it is smaller than the sum of its proper divisors (94878208).

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

58928480 is a wasteful number, since it uses less digits than its factorization.

58928480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 58928480 is about 7676.4887806861. The cubic root of 58928480 is about 389.1422745348.

The spelling of 58928480 in words is "fifty-eight million, nine hundred twenty-eight thousand, four hundred eighty".