58048144 has 120 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 22014720.

The previous prime is 58048141. The next prime is 58048157. The reversal of 58048144 is 44184085.

It is not an unprimeable number, because it can be changed into a prime (58048141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457009 + ... + 457135.

Almost surely, 2^58048144 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 58048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

58048144 is an abundant number, since it is smaller than the sum of its proper divisors (88513904).

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

58048144 is a wasteful number, since it uses less digits than its factorization.

58048144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 58048144 is about 7618.9332586655. The cubic root of 58048144 is about 387.1947375944.

The spelling of 58048144 in words is "fifty-eight million, forty-eight thousand, one hundred forty-four".