820828 has 12 divisors (see below), whose sum is σ = 1521072. Its totient is φ = 386240.

The previous prime is 820793. The next prime is 820837. The reversal of 820828 is 828028.

It is a junction number, because it is equal to n+sod(n) for n = 820796 and 820805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5968 + ... + 6103.

It is an arithmetic number, because the mean of its divisors is an integer number (126756).

2⁸²⁰⁸²⁸ is an apocalyptic number.

It is an amenable number.

820828 is a deficient number, since it is larger than the sum of its proper divisors (700244).

820828 is a wasteful number, since it uses less digits than its factorization.

820828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092 (or 12090 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 820828 is about 905.9955849782. The cubic root of 820828 is about 93.6305096927.

It can be divided in two parts, 82082 and 8, that multiplied together give a palindrome (656656).

The spelling of 820828 in words is "eight hundred twenty thousand, eight hundred twenty-eight".