58681728 has 192 divisors, whose sum is σ = 203673600. Its totient is φ = 15842304.

The previous prime is 58681697. The next prime is 58681751. The reversal of 58681728 is 82718685.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153025 + ... + 153407.

It is an arithmetic number, because the mean of its divisors is an integer number (1060800).

Almost surely, 2^58681728 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 58681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101836800).

58681728 is an abundant number, since it is smaller than the sum of its proper divisors (144991872).

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

58681728 is a wasteful number, since it uses less digits than its factorization.

58681728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 58681728 is about 7660.3999895567. The cubic root of 58681728 is about 388.5983611255.

The spelling of 58681728 in words is "fifty-eight million, six hundred eighty-one thousand, seven hundred twenty-eight".