846828 has 24 divisors (see below), whose sum is σ = 2195760. Its totient is φ = 282240.

The previous prime is 846823. The next prime is 846841. The reversal of 846828 is 828648.

846828 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 846792 and 846801.

It is not an unprimeable number, because it can be changed into a prime (846823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3813 + ... + 4028.

It is an arithmetic number, because the mean of its divisors is an integer number (91490).

2⁸⁴⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

846828 is an abundant number, since it is smaller than the sum of its proper divisors (1348932).

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

846828 is a wasteful number, since it uses less digits than its factorization.

846828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7854 (or 7846 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 846828 is about 920.2325792972. The cubic root of 846828 is about 94.6088441001.

The spelling of 846828 in words is "eight hundred forty-six thousand, eight hundred twenty-eight".