828324 has 72 divisors (see below), whose sum is σ = 2533440. Its totient is φ = 222912.

The previous prime is 828277. The next prime is 828349. The reversal of 828324 is 423828.

It is a super-2 number, since 2×828324² = 1372241297952, which contains 22 as substring.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828324.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4702 + ... + 4874.

2⁸²⁸³²⁴ is an apocalyptic number.

828324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266720).

828324 is an abundant number, since it is smaller than the sum of its proper divisors (1705116).

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

828324 is a wasteful number, since it uses less digits than its factorization.

828324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 828324 is about 910.1230686012. The cubic root of 828324 is about 93.9146652744.

Subtracting from 828324 its reverse (423828), we obtain a square (404496 = 636²).

The spelling of 828324 in words is "eight hundred twenty-eight thousand, three hundred twenty-four".