728953344 has 360 divisors, whose sum is σ = 2577239808. Its totient is φ = 201553920.

The previous prime is 728953339. The next prime is 728953349. The reversal of 728953344 is 443359827.

728953344 is a `hidden beast` number, since 72 + 8 + 9 + 533 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (728953339) and next prime (728953349).

Its product of digits (725760) is a multiple of the sum of its prime factors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 728953344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728953349) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 23514609 + ... + 23514639.

Almost surely, 2^728953344 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 728953344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288619904).

728953344 is an abundant number, since it is smaller than the sum of its proper divisors (1848286464).

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

728953344 is an frugal number, since it uses more digits than its factorization.

728953344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 43 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 728953344 is about 26999.1359861756. The cubic root of 728953344 is about 899.9807995904.

The spelling of 728953344 in words is "seven hundred twenty-eight million, nine hundred fifty-three thousand, three hundred forty-four".