728941824 has 108 divisors (see below), whose sum is σ = 2263482676. Its totient is φ = 224280576.

The previous prime is 728941789. The next prime is 728941841. The reversal of 728941824 is 428149827.

It can be written as a sum of positive squares in 2 ways, for example, as 500327424 + 228614400 = 22368^2 + 15120^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 728941824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17784 + ... + 42120.

Almost surely, 2^728941824 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 728941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131741338).

728941824 is an abundant number, since it is smaller than the sum of its proper divisors (1534540852).

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

728941824 is a wasteful number, since it uses less digits than its factorization.

728941824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24372 (or 24355 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 728941824 is about 26998.9226451723. The cubic root of 728941824 is about 899.9760586224.

The spelling of 728941824 in words is "seven hundred twenty-eight million, nine hundred forty-one thousand, eight hundred twenty-four".