728613584 has 40 divisors (see below), whose sum is σ = 1477262592. Its totient is φ = 347708160.

The previous prime is 728613569. The next prime is 728613623. The reversal of 728613584 is 485316827.

728613584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26147 + ... + 46269.

Almost surely, 2^728613584 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 728613584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738631296).

728613584 is an abundant number, since it is smaller than the sum of its proper divisors (748649008).

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

728613584 is a wasteful number, since it uses less digits than its factorization.

728613584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20235 (or 20229 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 728613584 is about 26992.8431996335. The cubic root of 728613584 is about 899.8409529650.

The spelling of 728613584 in words is "seven hundred twenty-eight million, six hundred thirteen thousand, five hundred eighty-four".