728805400 has 48 divisors (see below), whose sum is σ = 1707468840. Its totient is φ = 289286400.

The previous prime is 728805397. The next prime is 728805403. The reversal of 728805400 is 4508827.

It is an interprime number because it is at equal distance from previous prime (728805397) and next prime (728805403).

It is a super-2 number, since 2×728805400² = 1062314622138320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728805403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12292 + ... + 40108.

Almost surely, 2^728805400 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 728805400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853734420).

728805400 is an abundant number, since it is smaller than the sum of its proper divisors (978663440).

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

728805400 is a wasteful number, since it uses less digits than its factorization.

728805400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27964 (or 27955 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 728805400 is about 26996.3960557701. The cubic root of 728805400 is about 899.9199105687.

The spelling of 728805400 in words is "seven hundred twenty-eight million, eight hundred five thousand, four hundred".