828832 has 24 divisors (see below), whose sum is σ = 1663200. Its totient is φ = 406464.

The previous prime is 828829. The next prime is 828833. The reversal of 828832 is 238828.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 828794 and 828803.

It is not an unprimeable number, because it can be changed into a prime (828833) 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, 1669 + ... + 2107.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2⁸²⁸⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831600).

828832 is an abundant number, since it is smaller than the sum of its proper divisors (834368).

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

828832 is a wasteful number, since it uses less digits than its factorization.

828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 828832 is about 910.4021089607. The cubic root of 828832 is about 93.9338602191.

The spelling of 828832 in words is "eight hundred twenty-eight thousand, eight hundred thirty-two".