58268800 has 96 divisors (see below), whose sum is σ = 146084400. Its totient is φ = 22963200.

The previous prime is 58268797. The next prime is 58268849. The reversal of 58268800 is 886285.

It is a self number, because there is not a number n which added to its sum of digits gives 58268800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 419131 + ... + 419269.

Almost surely, 2^58268800 is an apocalyptic number.

58268800 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 58268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73042200).

58268800 is an abundant number, since it is smaller than the sum of its proper divisors (87815600).

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

58268800 is a wasteful number, since it uses less digits than its factorization.

58268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 58268800 is about 7633.4002908271. The cubic root of 58268800 is about 387.6847263539.

The spelling of 58268800 in words is "fifty-eight million, two hundred sixty-eight thousand, eight hundred".