58528008 has 384 divisors, whose sum is σ = 226437120. Its totient is φ = 13685760.

The previous prime is 58528007. The next prime is 58528013. The reversal of 58528008 is 80082585.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58528007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2544685 + ... + 2544707.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^58528008 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 58528008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

58528008 is an abundant number, since it is smaller than the sum of its proper divisors (167909112).

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

58528008 is a wasteful number, since it uses less digits than its factorization.

58528008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 58528008 is about 7650.3599915298. The cubic root of 58528008 is about 388.2587461769.

The spelling of 58528008 in words is "fifty-eight million, five hundred twenty-eight thousand, eight".