58427200 has 126 divisors (see below), whose sum is σ = 157802834. Its totient is φ = 21166080.

The previous prime is 58427189. The next prime is 58427207. The reversal of 58427200 is 272485.

58427200 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 9 ways, for example, as 13483584 + 44943616 = 3672^2 + 6704^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58427207) 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, 1102374 + ... + 1102426.

Almost surely, 2^58427200 is an apocalyptic number.

58427200 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 58427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78901417).

58427200 is an abundant number, since it is smaller than the sum of its proper divisors (99375634).

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

58427200 is a wasteful number, since it uses less digits than its factorization.

58427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 58427200 is about 7643.7687039837. The cubic root of 58427200 is about 388.0357072038.

Adding to 58427200 its reverse (272485), we get a palindrome (58699685).

The spelling of 58427200 in words is "fifty-eight million, four hundred twenty-seven thousand, two hundred".