828368900 has 18 divisors (see below), whose sum is σ = 1797560730. Its totient is φ = 331347520.

The previous prime is 828368881. The next prime is 828368929. The reversal of 828368900 is 9863828.

It can be written as a sum of positive squares in 3 ways, for example, as 176996416 + 651372484 = 13304^2 + 25522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4141745 + ... + 4141944.

It is an arithmetic number, because the mean of its divisors is an integer number (99864485).

Almost surely, 2^828368900 is an apocalyptic number.

It is an amenable number.

828368900 is an abundant number, since it is smaller than the sum of its proper divisors (969191830).

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

828368900 is a wasteful number, since it uses less digits than its factorization.

828368900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283703 (or 8283696 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 828368900 is about 28781.3985066744. The cubic root of 828368900 is about 939.1636215155.

The spelling of 828368900 in words is "eight hundred twenty-eight million, three hundred sixty-eight thousand, nine hundred".