828912 has 40 divisors (see below), whose sum is σ = 2448256. Its totient is φ = 236736.

The previous prime is 828901. The next prime is 828917. The reversal of 828912 is 219828.

828912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 828912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828917) by changing a digit.

828912 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, 898 + ... + 1569.

2⁸²⁸⁹¹² is an apocalyptic number.

It is an amenable number.

828912 is an abundant number, since it is smaller than the sum of its proper divisors (1619344).

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

828912 is a wasteful number, since it uses less digits than its factorization.

828912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2479 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 828912 is about 910.4460445298. The cubic root of 828912 is about 93.9368823302.

It can be divided in two parts, 8 and 28912, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 828912 in words is "eight hundred twenty-eight thousand, nine hundred twelve".