58004128 has 48 divisors (see below), whose sum is σ = 140555520. Its totient is φ = 22945536.

The previous prime is 58004099. The next prime is 58004161. The reversal of 58004128 is 82140085.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 58004096 and 58004105.

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 7 ways as a sum of consecutive naturals, for example, 7048 + ... + 12871.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 2^58004128 is an apocalyptic number.

It is an amenable number.

58004128 is an abundant number, since it is smaller than the sum of its proper divisors (82551392).

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

58004128 is a wasteful number, since it uses less digits than its factorization.

58004128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19949 (or 19941 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 58004128 is about 7616.0441175193. The cubic root of 58004128 is about 387.0968471661.

The spelling of 58004128 in words is "fifty-eight million, four thousand, one hundred twenty-eight".