828504 has 48 divisors (see below), whose sum is σ = 2311920. Its totient is φ = 267840.

The previous prime is 828449. The next prime is 828517. The reversal of 828504 is 405828.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

828504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2509 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (48165).

2⁸²⁸⁵⁰⁴ 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 828504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155960).

828504 is an abundant number, since it is smaller than the sum of its proper divisors (1483416).

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

828504 is a wasteful number, since it uses less digits than its factorization.

828504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 828504 is about 910.2219509548. The cubic root of 828504 is about 93.9214675303.

The spelling of 828504 in words is "eight hundred twenty-eight thousand, five hundred four".