828444 has 48 divisors (see below), whose sum is σ = 2128896. Its totient is φ = 249600.

The previous prime is 828431. The next prime is 828449. The reversal of 828444 is 444828.

It is a super-2 number, since 2×828444² = 1372638922272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828449) by changing a digit.

828444 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 15 ways as a sum of consecutive naturals, for example, 6259 + ... + 6389.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁸²⁸⁴⁴⁴ 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 828444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448).

828444 is an abundant number, since it is smaller than the sum of its proper divisors (1300452).

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

828444 is a wasteful number, since it uses less digits than its factorization.

828444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 828444 is about 910.1889913639. The cubic root of 828444 is about 93.9192002211.

The spelling of 828444 in words is "eight hundred twenty-eight thousand, four hundred forty-four".