58138300 has 72 divisors (see below), whose sum is σ = 145771920. Its totient is φ = 19891200.

The previous prime is 58138253. The next prime is 58138303. The reversal of 58138300 is 383185.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58138303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17146 + ... + 20254.

It is an arithmetic number, because the mean of its divisors is an integer number (2024610).

Almost surely, 2^58138300 is an apocalyptic number.

58138300 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 58138300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72885960).

58138300 is an abundant number, since it is smaller than the sum of its proper divisors (87633620).

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

58138300 is a wasteful number, since it uses less digits than its factorization.

58138300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 58138300 is about 7624.8475394594. The cubic root of 58138300 is about 387.3950877969.

The spelling of 58138300 in words is "fifty-eight million, one hundred thirty-eight thousand, three hundred".