842828 has 24 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 349200.

The previous prime is 842819. The next prime is 842857. The reversal of 842828 is 828248.

842828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

842828 is a modest number, since divided by 2828 gives 84 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 842794 and 842803.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 842828.

It is an unprimeable number.

842828 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 7 ways as a sum of consecutive naturals, for example, 383 + ... + 1353.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

2⁸⁴²⁸²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

842828 is an abundant number, since it is smaller than the sum of its proper divisors (898996).

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

842828 is a wasteful number, since it uses less digits than its factorization.

842828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 842828 is about 918.0566431327. The cubic root of 842828 is about 94.4596470209.

The spelling of 842828 in words is "eight hundred forty-two thousand, eight hundred twenty-eight".