828352 has 42 divisors (see below), whose sum is σ = 1923288. Its totient is φ = 346752.

The previous prime is 828349. The next prime is 828361. The reversal of 828352 is 253828.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 828352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19243 + ... + 19285.

2⁸²⁸³⁵² 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 828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961644).

828352 is an abundant number, since it is smaller than the sum of its proper divisors (1094936).

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

828352 is an equidigital number, since it uses as much as digits as its factorization.

828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 52 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 828352 is about 910.1384510062. The cubic root of 828352 is about 93.9157234678.

Multiplying 828352 by its sum of digits (28), we get a square (23193856 = 4816²).

828352 divided by its sum of digits (28) gives a square (29584 = 172²).

The spelling of 828352 in words is "eight hundred twenty-eight thousand, three hundred fifty-two".