58399328 has 48 divisors (see below), whose sum is σ = 125455680. Its totient is φ = 26597376.

The previous prime is 58399307. The next prime is 58399339. The reversal of 58399328 is 82399385.

58399328 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 7 ways as a sum of consecutive naturals, for example, 31976 + ... + 33752.

It is an arithmetic number, because the mean of its divisors is an integer number (2613660).

Almost surely, 2^58399328 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 58399328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727840).

58399328 is an abundant number, since it is smaller than the sum of its proper divisors (67056352).

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

58399328 is a wasteful number, since it uses less digits than its factorization.

58399328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 58399328 is about 7641.9453020811. The cubic root of 58399328 is about 387.9739947852.

The spelling of 58399328 in words is "fifty-eight million, three hundred ninety-nine thousand, three hundred twenty-eight".