58027200 has 336 divisors, whose sum is σ = 238865664. Its totient is φ = 11980800.

The previous prime is 58027157. The next prime is 58027219. The reversal of 58027200 is 272085.

58027200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 369522 + ... + 369678.

Almost surely, 2^58027200 is an apocalyptic number.

58027200 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 58027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119432832).

58027200 is an abundant number, since it is smaller than the sum of its proper divisors (180838464).

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

58027200 is a wasteful number, since it uses less digits than its factorization.

58027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 58027200 is about 7617.5586640340. The cubic root of 58027200 is about 387.1481648617.

Adding to 58027200 its reverse (272085), we get a palindrome (58299285).

The spelling of 58027200 in words is "fifty-eight million, twenty-seven thousand, two hundred".