801828 has 18 divisors (see below), whose sum is σ = 2026934. Its totient is φ = 267264.

The previous prime is 801817. The next prime is 801833. The reversal of 801828 is 828108.

801828 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 381924 = 648^2 + 618^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 801828.

It is an unprimeable number.

801828 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 5 ways as a sum of consecutive naturals, for example, 11101 + ... + 11172.

2⁸⁰¹⁸²⁸ is an apocalyptic number.

It is an amenable number.

801828 is an abundant number, since it is smaller than the sum of its proper divisors (1225106).

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

801828 is a wasteful number, since it uses less digits than its factorization.

801828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22283 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 801828 is about 895.4484909809. The cubic root of 801828 is about 92.9024297554.

The spelling of 801828 in words is "eight hundred one thousand, eight hundred twenty-eight".