58048920 has 128 divisors (see below), whose sum is σ = 196992000. Its totient is φ = 15200640.

The previous prime is 58048919. The next prime is 58048927. The reversal of 58048920 is 2984085.

58048920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58048920² = 6739354226332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58048927) 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 31 ways as a sum of consecutive naturals, for example, 63265 + ... + 64175.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^58048920 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 58048920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496000).

58048920 is an abundant number, since it is smaller than the sum of its proper divisors (138943080).

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

58048920 is a wasteful number, since it uses less digits than its factorization.

58048920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 58048920 is about 7618.9841842597. The cubic root of 58048920 is about 387.1964629541.

The spelling of 58048920 in words is "fifty-eight million, forty-eight thousand, nine hundred twenty".