828828125 has 24 divisors (see below), whose sum is σ = 1046188728. Its totient is φ = 656625000.

The previous prime is 828828113. The next prime is 828828137. The reversal of 828828125 is 521828828.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (828828113) and next prime (828828137).

It can be written as a sum of positive squares in 4 ways, for example, as 819905956 + 8922169 = 28634^2 + 2987^2 .

It is not a de Polignac number, because 828828125 - 2⁴ = 828828109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8046824 + ... + 8046926.

It is an arithmetic number, because the mean of its divisors is an integer number (43591197).

Almost surely, 2^828828125 is an apocalyptic number.

It is an amenable number.

828828125 is a deficient number, since it is larger than the sum of its proper divisors (217360603).

828828125 is an frugal number, since it uses more digits than its factorization.

828828125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 108 counting only the distinct ones).

The product of its digits is 163840, while the sum is 44.

The square root of 828828125 is about 28789.3752103098. The cubic root of 828828125 is about 939.3371383068.

The spelling of 828828125 in words is "eight hundred twenty-eight million, eight hundred twenty-eight thousand, one hundred twenty-five".