58001120928 has 192 divisors, whose sum is σ = 173482646400. Its totient is φ = 18846535680.

The previous prime is 58001120927. The next prime is 58001120929. The reversal of 58001120928 is 82902110085.

It is an interprime number because it is at equal distance from previous prime (58001120927) and next prime (58001120929).

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

It is a junction number, because it is equal to n+sod(n) for n = 58001120892 and 58001120901.

It is not an unprimeable number, because it can be changed into a prime (58001120921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5950683 + ... + 5960421.

It is an arithmetic number, because the mean of its divisors is an integer number (903555450).

Almost surely, 2^58001120928 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 58001120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86741323200).

58001120928 is an abundant number, since it is smaller than the sum of its proper divisors (115481525472).

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

58001120928 is a wasteful number, since it uses less digits than its factorization.

58001120928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

It can be divided in two parts, 58001 and 120928, that added together give a square (178929 = 423²).

The spelling of 58001120928 in words is "fifty-eight billion, one million, one hundred twenty thousand, nine hundred twenty-eight".