828438 has 48 divisors (see below), whose sum is σ = 1932480. Its totient is φ = 235872.

The previous prime is 828431. The next prime is 828449. The reversal of 828438 is 834828.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 828399 and 828408.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 828438.

It is not an unprimeable number, because it can be changed into a prime (828431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19245 + ... + 19287.

It is an arithmetic number, because the mean of its divisors is an integer number (40260).

2⁸²⁸⁴³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966240).

828438 is an abundant number, since it is smaller than the sum of its proper divisors (1104042).

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

828438 is a wasteful number, since it uses less digits than its factorization.

828438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 828438 is about 910.1856953391. The cubic root of 828438 is about 93.9189734842.

The spelling of 828438 in words is "eight hundred twenty-eight thousand, four hundred thirty-eight".