58028400 has 210 divisors, whose sum is σ = 210074600. Its totient is φ = 15396480.

The previous prime is 58028389. The next prime is 58028437. The reversal of 58028400 is 482085.

58028400 is a `hidden beast` number, since 580 + 2 + 84 + 0 + 0 = 666.

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 41 ways as a sum of consecutive naturals, for example, 291501 + ... + 291699.

Almost surely, 2^58028400 is an apocalyptic number.

58028400 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 58028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105037300).

58028400 is an abundant number, since it is smaller than the sum of its proper divisors (152046200).

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

58028400 is a wasteful number, since it uses less digits than its factorization.

58028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58028400 is about 7617.6374290196. The cubic root of 58028400 is about 387.1508335791.

The spelling of 58028400 in words is "fifty-eight million, twenty-eight thousand, four hundred".