58397328 has 80 divisors (see below), whose sum is σ = 182875200. Its totient is φ = 17694720.

The previous prime is 58397321. The next prime is 58397347. The reversal of 58397328 is 82379385.

It is not an unprimeable number, because it can be changed into a prime (58397321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393 + ... + 10896.

It is an arithmetic number, because the mean of its divisors is an integer number (2285940).

Almost surely, 2^58397328 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 58397328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91437600).

58397328 is an abundant number, since it is smaller than the sum of its proper divisors (124477872).

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

58397328 is a wasteful number, since it uses less digits than its factorization.

58397328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12317 (or 12305 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 58397328 is about 7641.8144442272. The cubic root of 58397328 is about 387.9695657568.

It can be divided in two parts, 58 and 397328, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 58397328 in words is "fifty-eight million, three hundred ninety-seven thousand, three hundred twenty-eight".