58255200 has 360 divisors, whose sum is σ = 226860480. Its totient is φ = 14515200.

The previous prime is 58255181. The next prime is 58255291. The reversal of 58255200 is 255285.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1879185 + ... + 1879215.

It is an arithmetic number, because the mean of its divisors is an integer number (630168).

Almost surely, 2^58255200 is an apocalyptic number.

58255200 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 58255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113430240).

58255200 is an abundant number, since it is smaller than the sum of its proper divisors (168605280).

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

58255200 is a wasteful number, since it uses less digits than its factorization.

58255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 58255200 is about 7632.5094169611. The cubic root of 58255200 is about 387.6545619976.

It can be divided in two parts, 5825 and 5200, that added together give a square (11025 = 105²).

The spelling of 58255200 in words is "fifty-eight million, two hundred fifty-five thousand, two hundred".