828936 has 48 divisors (see below), whose sum is σ = 2328300. Its totient is φ = 266112.

The previous prime is 828923. The next prime is 828941. The reversal of 828936 is 639828.

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 8100 = 906^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 828936.

It is an unprimeable number.

828936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1890 + ... + 2286.

2⁸²⁸⁹³⁶ 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 828936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164150).

828936 is an abundant number, since it is smaller than the sum of its proper divisors (1499364).

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

828936 is a wasteful number, since it uses less digits than its factorization.

828936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 828936 is about 910.4592247871. The cubic root of 828936 is about 93.9377889256.

It can be divided in two parts, 828 and 936, that added together give a square (1764 = 42²).

The spelling of 828936 in words is "eight hundred twenty-eight thousand, nine hundred thirty-six".