58256800 has 144 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 19584000.

The previous prime is 58256797. The next prime is 58256801. The reversal of 58256800 is 865285.

It is not an unprimeable number, because it can be changed into a prime (58256801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565549 + ... + 565651.

It is an arithmetic number, because the mean of its divisors is an integer number (1150968).

Almost surely, 2^58256800 is an apocalyptic number.

58256800 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 58256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82869696).

58256800 is an abundant number, since it is smaller than the sum of its proper divisors (107482592).

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

58256800 is a wasteful number, since it uses less digits than its factorization.

58256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 58256800 is about 7632.6142310482. The cubic root of 58256800 is about 387.6581109891.

The spelling of 58256800 in words is "fifty-eight million, two hundred fifty-six thousand, eight hundred".