48058130928 has 320 divisors, whose sum is σ = 140333875200. Its totient is φ = 14107530240.

The previous prime is 48058130927. The next prime is 48058130951. The reversal of 48058130928 is 82903185084.

48058130928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48058130921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78397950 + ... + 78398562.

It is an arithmetic number, because the mean of its divisors is an integer number (438543360).

Almost surely, 2^48058130928 is an apocalyptic number.

48058130928 is a gapful number since it is divisible by the number (48) 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 48058130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70166937600).

48058130928 is an abundant number, since it is smaller than the sum of its proper divisors (92275744272).

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

48058130928 is a wasteful number, since it uses less digits than its factorization.

48058130928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 48058130928 in words is "forty-eight billion, fifty-eight million, one hundred thirty thousand, nine hundred twenty-eight".