828138800 has 60 divisors (see below), whose sum is σ = 1992591216. Its totient is φ = 330758400.

The previous prime is 828138797. The next prime is 828138823. The reversal of 828138800 is 8831828.

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 11 ways as a sum of consecutive naturals, for example, 385730 + ... + 387870.

Almost surely, 2^828138800 is an apocalyptic number.

828138800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828138800 is an abundant number, since it is smaller than the sum of its proper divisors (1164452416).

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

828138800 is a wasteful number, since it uses less digits than its factorization.

828138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 828138800 is about 28777.4008555325. The cubic root of 828138800 is about 939.0766548024.

The spelling of 828138800 in words is "eight hundred twenty-eight million, one hundred thirty-eight thousand, eight hundred".