58813200 has 270 divisors, whose sum is σ = 223299882. Its totient is φ = 14284800.

The previous prime is 58813187. The next prime is 58813241. The reversal of 58813200 is 231885.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8856576 + 49956624 = 2976^2 + 7068^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1897185 + ... + 1897215.

Almost surely, 2^58813200 is an apocalyptic number.

58813200 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 58813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111649941).

58813200 is an abundant number, since it is smaller than the sum of its proper divisors (164486682).

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

58813200 is a wasteful number, since it uses less digits than its factorization.

58813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58813200 is about 7668.9764636488. The cubic root of 58813200 is about 388.8883531361. Note that the first 3 decimals are identical.

The spelling of 58813200 in words is "fifty-eight million, eight hundred thirteen thousand, two hundred".