828304 has 10 divisors (see below), whose sum is σ = 1604870. Its totient is φ = 414144.

The previous prime is 828277. The next prime is 828349. The reversal of 828304 is 403828.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 102400 = 852^2 + 320^2 .

It is an unprimeable number.

828304 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 as a sum of consecutive naturals, namely, 25869 + ... + 25900.

It is an arithmetic number, because the mean of its divisors is an integer number (160487).

2⁸²⁸³⁰⁴ is an apocalyptic number.

It is an amenable number.

828304 is a deficient number, since it is larger than the sum of its proper divisors (776566).

828304 is a wasteful number, since it uses less digits than its factorization.

828304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51777 (or 51771 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 828304 is about 910.1120810098. The cubic root of 828304 is about 93.9139094073.

The spelling of 828304 in words is "eight hundred twenty-eight thousand, three hundred four".