58966628 has 48 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 24124800.

The previous prime is 58966571. The next prime is 58966643. The reversal of 58966628 is 82666985.

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, 81653 + ... + 82371.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^58966628 is an apocalyptic number.

58966628 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58966628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

58966628 is an abundant number, since it is smaller than the sum of its proper divisors (64412572).

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

58966628 is a wasteful number, since it uses less digits than its factorization.

58966628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 858 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 58966628 is about 7678.9731084306. The cubic root of 58966628 is about 389.2262282659.

The spelling of 58966628 in words is "fifty-eight million, nine hundred sixty-six thousand, six hundred twenty-eight".