728911440 has 160 divisors (see below), whose sum is σ = 2642985600. Its totient is φ = 184135680.

The previous prime is 728911439. The next prime is 728911451. The reversal of 728911440 is 44119827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 728911395 and 728911404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32160 + ... + 49920.

It is an arithmetic number, because the mean of its divisors is an integer number (16518660).

Almost surely, 2^728911440 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 728911440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321492800).

728911440 is an abundant number, since it is smaller than the sum of its proper divisors (1914074160).

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

728911440 is a wasteful number, since it uses less digits than its factorization.

728911440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17802 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 728911440 is about 26998.3599501896. The cubic root of 728911440 is about 899.9635540797.

The spelling of 728911440 in words is "seven hundred twenty-eight million, nine hundred eleven thousand, four hundred forty".