58405648 has 120 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 23063040.

The previous prime is 58405603. The next prime is 58405657. The reversal of 58405648 is 84650485.

58405648 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 2×58405648² = 6822439436599808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58405648.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 739273 + ... + 739351.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^58405648 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 58405648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

58405648 is an abundant number, since it is smaller than the sum of its proper divisors (84085232).

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

58405648 is a wasteful number, since it uses less digits than its factorization.

58405648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 58405648 is about 7642.3587981722. The cubic root of 58405648 is about 387.9879898504.

The spelling of 58405648 in words is "fifty-eight million, four hundred five thousand, six hundred forty-eight".