728825440 has 96 divisors (see below), whose sum is σ = 1978712064. Its totient is φ = 248501760.

The previous prime is 728825429. The next prime is 728825459. The reversal of 728825440 is 44528827.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 728825393 and 728825402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212217 + ... + 215623.

It is an arithmetic number, because the mean of its divisors is an integer number (20611584).

Almost surely, 2^728825440 is an apocalyptic number.

728825440 is a gapful number since it is divisible by the number (70) 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 728825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989356032).

728825440 is an abundant number, since it is smaller than the sum of its proper divisors (1249886624).

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

728825440 is a wasteful number, since it uses less digits than its factorization.

728825440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 728825440 is about 26996.7672138721. The cubic root of 728825440 is about 899.9281588746.

The spelling of 728825440 in words is "seven hundred twenty-eight million, eight hundred twenty-five thousand, four hundred forty".