828000 has 144 divisors (see below), whose sum is σ = 3066336. Its totient is φ = 211200.

The previous prime is 827989. The next prime is 828007. The reversal of 828000 is 828.

Added to its reverse (828) it gives a triangular number (828828 = T₁₂₈₇).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828007) by changing a digit.

828000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 23 ways as a sum of consecutive naturals, for example, 35989 + ... + 36011.

It is an arithmetic number, because the mean of its divisors is an integer number (21294).

2⁸²⁸⁰⁰⁰ is an apocalyptic number.

828000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533168).

828000 is an abundant number, since it is smaller than the sum of its proper divisors (2238336).

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

828000 is a wasteful number, since it uses less digits than its factorization.

828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 828000 is about 909.9450532862. The cubic root of 828000 is about 93.9024187300.

Adding to 828000 its reverse (828), we get a palindrome (828828).

828000 divided by its reverse (828) gives a cube (1000 = 10³).

The spelling of 828000 in words is "eight hundred twenty-eight thousand".