58144320 has 168 divisors, whose sum is σ = 215514936. Its totient is φ = 14303232.

The previous prime is 58144309. The next prime is 58144327. The reversal of 58144320 is 2344185.

58144320 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 4 ways, for example, as 627264 + 57517056 = 792^2 + 7584^2 .

It is not an unprimeable number, because it can be changed into a prime (58144327) 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 23 ways as a sum of consecutive naturals, for example, 36664 + ... + 38216.

It is an arithmetic number, because the mean of its divisors is an integer number (1282827).

Almost surely, 2^58144320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107757468).

58144320 is an abundant number, since it is smaller than the sum of its proper divisors (157370616).

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

58144320 is a wasteful number, since it uses less digits than its factorization.

58144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58144320 is about 7625.2422912325. The cubic root of 58144320 is about 387.4084584318.

The spelling of 58144320 in words is "fifty-eight million, one hundred forty-four thousand, three hundred twenty".