728900 has 36 divisors (see below), whose sum is σ = 1632708. Its totient is φ = 282240.

The previous prime is 728899. The next prime is 728911. The reversal of 728900 is 9827.

728900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 114244 + 614656 = 338^2 + 784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 728900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3602 + ... + 3798.

It is an arithmetic number, because the mean of its divisors is an integer number (45353).

2⁷²⁸⁹⁰⁰ 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 728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816354).

728900 is an abundant number, since it is smaller than the sum of its proper divisors (903808).

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

728900 is a wasteful number, since it uses less digits than its factorization.

728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 728900 is about 853.7564055397. The cubic root of 728900 is about 89.9958845855.

The spelling of 728900 in words is "seven hundred twenty-eight thousand, nine hundred".