728318944 has 72 divisors (see below), whose sum is σ = 1537536168. Its totient is φ = 339482880.

The previous prime is 728318917. The next prime is 728318953. The reversal of 728318944 is 449813827.

It is a junction number, because it is equal to n+sod(n) for n = 728318894 and 728318903.

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, 773514 + ... + 774454.

It is an arithmetic number, because the mean of its divisors is an integer number (21354669).

Almost surely, 2^728318944 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 728318944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768768084).

728318944 is an abundant number, since it is smaller than the sum of its proper divisors (809217224).

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

728318944 is a wasteful number, since it uses less digits than its factorization.

728318944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1029 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 728318944 is about 26987.3849048032. The cubic root of 728318944 is about 899.7196427167.

It can be divided in two parts, 728 and 318944, that multiplied together give a palindrome (232191232).

The spelling of 728318944 in words is "seven hundred twenty-eight million, three hundred eighteen thousand, nine hundred forty-four".