813828 has 12 divisors (see below), whose sum is σ = 1898960. Its totient is φ = 271272.

The previous prime is 813817. The next prime is 813829. The reversal of 813828 is 828318.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 813795 and 813804.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 813828.

It is not an unprimeable number, because it can be changed into a prime (813829) by changing a digit.

813828 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 3 ways as a sum of consecutive naturals, for example, 33898 + ... + 33921.

2⁸¹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

813828 is an abundant number, since it is smaller than the sum of its proper divisors (1085132).

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

813828 is a wasteful number, since it uses less digits than its factorization.

813828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67826 (or 67824 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 813828 is about 902.1241599691. The cubic root of 813828 is about 93.3635899636.

The spelling of 813828 in words is "eight hundred thirteen thousand, eight hundred twenty-eight".