828928 has 20 divisors (see below), whose sum is σ = 1657260. Its totient is φ = 414208.

The previous prime is 828923. The next prime is 828941. The reversal of 828928 is 829828.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828923) by changing a digit.

828928 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, 298 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (82863).

2⁸²⁸⁹²⁸ is an apocalyptic number.

It is an amenable number.

828928 is a deficient number, since it is larger than the sum of its proper divisors (828332).

828928 is an equidigital number, since it uses as much as digits as its factorization.

828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1621 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 828928 is about 910.4548313892. The cubic root of 828928 is about 93.9374867291.

Subtracting 828928 from its reverse (829828), we obtain a square (900 = 30²).

The spelling of 828928 in words is "eight hundred twenty-eight thousand, nine hundred twenty-eight".