828792 has 40 divisors (see below), whose sum is σ = 2323200. Its totient is φ = 276048.

The previous prime is 828787. The next prime is 828797. The reversal of 828792 is 297828.

828792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (828787) and next prime (828797).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828797) by changing a digit.

828792 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 9 ways as a sum of consecutive naturals, for example, 9 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (58080).

2⁸²⁸⁷⁹² 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 828792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161600).

828792 is an abundant number, since it is smaller than the sum of its proper divisors (1494408).

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

828792 is a wasteful number, since it uses less digits than its factorization.

828792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1284 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 828792 is about 910.3801403809. The cubic root of 828792 is about 93.9323490907.

Adding to 828792 its sum of digits (36), we get a palindrome (828828).

The spelling of 828792 in words is "eight hundred twenty-eight thousand, seven hundred ninety-two".