58408320 has 128 divisors (see below), whose sum is σ = 192780000. Its totient is φ = 15024128.

The previous prime is 58408307. The next prime is 58408321. The reversal of 58408320 is 2380485.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58408321) 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, 55156 + ... + 56204.

Almost surely, 2^58408320 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 58408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390000).

58408320 is an abundant number, since it is smaller than the sum of its proper divisors (134371680).

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

58408320 is a wasteful number, since it uses less digits than its factorization.

58408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58408320 is about 7642.5336113098. The cubic root of 58408320 is about 387.9939064477.

The spelling of 58408320 in words is "fifty-eight million, four hundred eight thousand, three hundred twenty".