58409328 has 80 divisors (see below), whose sum is σ = 158846976. Its totient is φ = 18458880.

The previous prime is 58409321. The next prime is 58409353. The reversal of 58409328 is 82390485.

It is a happy number.

58409328 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 not an unprimeable number, because it can be changed into a prime (58409321) 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 15 ways as a sum of consecutive naturals, for example, 210726 + ... + 211002.

Almost surely, 2^58409328 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 58409328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79423488).

58409328 is an abundant number, since it is smaller than the sum of its proper divisors (100437648).

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

58409328 is a wasteful number, since it uses less digits than its factorization.

58409328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 58409328 is about 7642.5995577421. The cubic root of 58409328 is about 387.9961384106.

The spelling of 58409328 in words is "fifty-eight million, four hundred nine thousand, three hundred twenty-eight".