728374464 has 112 divisors (see below), whose sum is σ = 2158796800. Its totient is φ = 240807168.

The previous prime is 728374459. The next prime is 728374483. The reversal of 728374464 is 464473827.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 217797 + ... + 221115.

Almost surely, 2^728374464 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 728374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079398400).

728374464 is an abundant number, since it is smaller than the sum of its proper divisors (1430422336).

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

728374464 is a wasteful number, since it uses less digits than its factorization.

728374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3451 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 728374464 is about 26988.4135139508. The cubic root of 728374464 is about 899.7425041135.

The spelling of 728374464 in words is "seven hundred twenty-eight million, three hundred seventy-four thousand, four hundred sixty-four".