828852 has 36 divisors (see below), whose sum is σ = 2063040. Its totient is φ = 258944.

The previous prime is 828833. The next prime is 828859. The reversal of 828852 is 258828.

828852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828859) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3349 + ... + 3587.

2⁸²⁸⁸⁵² 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 828852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031520).

828852 is an abundant number, since it is smaller than the sum of its proper divisors (1234188).

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

828852 is a wasteful number, since it uses less digits than its factorization.

828852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its digits is 10240, while the sum is 33.

The square root of 828852 is about 910.4130930517. The cubic root of 828852 is about 93.9346157651.

The spelling of 828852 in words is "eight hundred twenty-eight thousand, eight hundred fifty-two".