809828 has 12 divisors (see below), whose sum is σ = 1425900. Its totient is φ = 402432.

The previous prime is 809827. The next prime is 809833. The reversal of 809828 is 828908.

809828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 487204 + 322624 = 698^2 + 568^2 .

It is not an unprimeable number, because it can be changed into a prime (809821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 248 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (118825).

2⁸⁰⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

809828 is a deficient number, since it is larger than the sum of its proper divisors (616072).

809828 is a wasteful number, since it uses less digits than its factorization.

809828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 809828 is about 899.9044393712. The cubic root of 809828 is about 93.2103766376.

The spelling of 809828 in words is "eight hundred nine thousand, eight hundred twenty-eight".