828168 has 32 divisors (see below), whose sum is σ = 2259360. Its totient is φ = 250880.

The previous prime is 828133. The next prime is 828169. The reversal of 828168 is 861828.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (828169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305 + ... + 1832.

It is an arithmetic number, because the mean of its divisors is an integer number (70605).

2⁸²⁸¹⁶⁸ is an apocalyptic number.

828168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

828168 is an abundant number, since it is smaller than the sum of its proper divisors (1431192).

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

828168 is a wasteful number, since it uses less digits than its factorization.

828168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3153 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 828168 is about 910.0373618704. The cubic root of 828168 is about 93.9087691888.

The spelling of 828168 in words is "eight hundred twenty-eight thousand, one hundred sixty-eight".