58292808 has 64 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 16597056.

The previous prime is 58292791. The next prime is 58292827. The reversal of 58292808 is 80829285.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 58292808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78085 + ... + 78827.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2^58292808 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 58292808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

58292808 is an abundant number, since it is smaller than the sum of its proper divisors (108839352).

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

58292808 is a wasteful number, since it uses less digits than its factorization.

58292808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 58292808 is about 7634.9726915032. The cubic root of 58292808 is about 387.7379638607.

The spelling of 58292808 in words is "fifty-eight million, two hundred ninety-two thousand, eight hundred eight".