728825 has 6 divisors (see below), whose sum is σ = 903774. Its totient is φ = 583040.

The previous prime is 728813. The next prime is 728831. The reversal of 728825 is 528827.

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 724201 = 68^2 + 851^2 .

It is not a de Polignac number, because 728825 - 2⁴ = 728809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 728791 and 728800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728825.

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 5 ways as a sum of consecutive naturals, for example, 14552 + ... + 14601.

It is an arithmetic number, because the mean of its divisors is an integer number (150629).

2⁷²⁸⁸²⁵ is an apocalyptic number.

It is an amenable number.

728825 is a deficient number, since it is larger than the sum of its proper divisors (174949).

728825 is a wasteful number, since it uses less digits than its factorization.

728825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29163 (or 29158 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 728825 is about 853.7124808740. The cubic root of 728825 is about 89.9927977776.

The spelling of 728825 in words is "seven hundred twenty-eight thousand, eight hundred twenty-five".