728404992 has 198 divisors, whose sum is σ = 2448158778. Its totient is φ = 207986688.

The previous prime is 728404991. The next prime is 728405003. The reversal of 728404992 is 299404827.

It can be written as a sum of positive squares in only one way, i.e., 652087296 + 76317696 = 25536^2 + 8736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728404991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450778 + ... + 452390.

Almost surely, 2^728404992 is an apocalyptic number.

728404992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224079389).

728404992 is an abundant number, since it is smaller than the sum of its proper divisors (1719753786).

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

728404992 is a wasteful number, since it uses less digits than its factorization.

728404992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 728404992 is about 26988.9790840632. The cubic root of 728404992 is about 899.7550740927.

The spelling of 728404992 in words is "seven hundred twenty-eight million, four hundred four thousand, nine hundred ninety-two".