58128400 has 90 divisors (see below), whose sum is σ = 153631226. Its totient is φ = 21120000.

The previous prime is 58128397. The next prime is 58128401. The reversal of 58128400 is 482185.

58128400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 853776 + 57274624 = 924^2 + 7568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58128401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47800 + ... + 49000.

Almost surely, 2^58128400 is an apocalyptic number.

58128400 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 58128400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76815613).

58128400 is an abundant number, since it is smaller than the sum of its proper divisors (95502826).

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

58128400 is a wasteful number, since it uses less digits than its factorization.

58128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 58128400 is about 7624.1983185119. The cubic root of 58128400 is about 387.3730975364.

The spelling of 58128400 in words is "fifty-eight million, one hundred twenty-eight thousand, four hundred".