728306496 has 84 divisors (see below), whose sum is σ = 2127036132. Its totient is φ = 238178304.

The previous prime is 728306489. The next prime is 728306543. The reversal of 728306496 is 694603827.

It can be written as a sum of positive squares in 2 ways, for example, as 247118400 + 481188096 = 15720^2 + 21936^2 .

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, 18600 + ... + 42456.

Almost surely, 2^728306496 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 728306496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063518066).

728306496 is an abundant number, since it is smaller than the sum of its proper divisors (1398729636).

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

728306496 is a wasteful number, since it uses less digits than its factorization.

728306496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23928 (or 23915 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 728306496 is about 26987.1542775447. The cubic root of 728306496 is about 899.7145168607.

The spelling of 728306496 in words is "seven hundred twenty-eight million, three hundred six thousand, four hundred ninety-six".