828872 has 16 divisors (see below), whose sum is σ = 1695600. Its totient is φ = 376720.

The previous prime is 828871. The next prime is 828881. The reversal of 828872 is 278828.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828872.

It is not an unprimeable number, because it can be changed into a prime (828871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4622 + ... + 4797.

It is an arithmetic number, because the mean of its divisors is an integer number (105975).

2⁸²⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

828872 is an abundant number, since it is smaller than the sum of its proper divisors (866728).

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

828872 is a wasteful number, since it uses less digits than its factorization.

828872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9432 counting only the distinct ones).

The product of its digits is 14336, while the sum is 35.

The square root of 828872 is about 910.4240770103. The cubic root of 828872 is about 93.9353712990.

The spelling of 828872 in words is "eight hundred twenty-eight thousand, eight hundred seventy-two".