728607744 has 264 divisors, whose sum is σ = 2308524720. Its totient is φ = 226934784.

The previous prime is 728607727. The next prime is 728607749. The reversal of 728607744 is 447706827.

It is a self number, because there is not a number n which added to its sum of digits gives 728607744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728607749) 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 23 ways as a sum of consecutive naturals, for example, 9980892 + ... + 9980964.

Almost surely, 2^728607744 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 728607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154262360).

728607744 is an abundant number, since it is smaller than the sum of its proper divisors (1579916976).

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

728607744 is a wasteful number, since it uses less digits than its factorization.

728607744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 728607744 is about 26992.7350225945. The cubic root of 728607744 is about 899.8385488167.

The spelling of 728607744 in words is "seven hundred twenty-eight million, six hundred seven thousand, seven hundred forty-four".