58480128 has 240 divisors, whose sum is σ = 202144800. Its totient is φ = 16257024.

The previous prime is 58480109. The next prime is 58480133. The reversal of 58480128 is 82108485.

58480128 is a `hidden beast` number, since 58 + 480 + 128 = 666.

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 = 58480092 and 58480101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580526 + ... + 1580562.

It is an arithmetic number, because the mean of its divisors is an integer number (842270).

Almost surely, 2^58480128 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 58480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101072400).

58480128 is an abundant number, since it is smaller than the sum of its proper divisors (143664672).

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

58480128 is an equidigital number, since it uses as much as digits as its factorization.

58480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 58480128 is about 7647.2300867700. The cubic root of 58480128 is about 388.1528430320.

The spelling of 58480128 in words is "fifty-eight million, four hundred eighty thousand, one hundred twenty-eight".