58048068 has 48 divisors (see below), whose sum is σ = 146968640. Its totient is φ = 17725824.

The previous prime is 58048061. The next prime is 58048069. The reversal of 58048068 is 86084085.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (58048061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20346 + ... + 23022.

Almost surely, 2^58048068 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 58048068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73484320).

58048068 is an abundant number, since it is smaller than the sum of its proper divisors (88920572).

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

58048068 is a wasteful number, since it uses less digits than its factorization.

58048068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 58048068 is about 7618.9282710891. The cubic root of 58048068 is about 387.1945686150.

The spelling of 58048068 in words is "fifty-eight million, forty-eight thousand, sixty-eight".