728996224 has 64 divisors (see below), whose sum is σ = 1653281280. Its totient is φ = 316940800.

The previous prime is 728996207. The next prime is 728996231. The reversal of 728996224 is 422699827.

It is a tau number, because it is divible by the number of its divisors (64).

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, 21129 + ... + 43639.

It is an arithmetic number, because the mean of its divisors is an integer number (25832520).

Almost surely, 2^728996224 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 728996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826640640).

728996224 is an abundant number, since it is smaller than the sum of its proper divisors (924285056).

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

728996224 is a wasteful number, since it uses less digits than its factorization.

728996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22559 (or 22547 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The square root of 728996224 is about 26999.9300739835. The cubic root of 728996224 is about 899.9984460879.

The spelling of 728996224 in words is "seven hundred twenty-eight million, nine hundred ninety-six thousand, two hundred twenty-four".