58538500 has 72 divisors (see below), whose sum is σ = 133090776. Its totient is φ = 22484800.

The previous prime is 58538483. The next prime is 58538507. The reversal of 58538500 is 583585.

58538500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 57972996 = 752^2 + 7614^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58538507) 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 23 ways as a sum of consecutive naturals, for example, 1104474 + ... + 1104526.

It is an arithmetic number, because the mean of its divisors is an integer number (1848483).

Almost surely, 2^58538500 is an apocalyptic number.

58538500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58538500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66545388).

58538500 is an abundant number, since it is smaller than the sum of its proper divisors (74552276).

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

58538500 is a wasteful number, since it uses less digits than its factorization.

58538500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 58538500 is about 7651.0456801669. The cubic root of 58538500 is about 388.2819451404.

The spelling of 58538500 in words is "fifty-eight million, five hundred thirty-eight thousand, five hundred".