828144 has 70 divisors (see below), whose sum is σ = 2439576. Its totient is φ = 272160.

The previous prime is 828133. The next prime is 828169. The reversal of 828144 is 441828.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

828144 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 13 ways as a sum of consecutive naturals, for example, 11629 + ... + 11699.

2⁸²⁸¹⁴⁴ 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 828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219788).

828144 is an abundant number, since it is smaller than the sum of its proper divisors (1611432).

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

828144 is an equidigital number, since it uses as much as digits as its factorization.

828144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 76 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 828144 is about 910.0241755030. The cubic root of 828144 is about 93.9078620330.

The spelling of 828144 in words is "eight hundred twenty-eight thousand, one hundred forty-four".