828528 has 40 divisors (see below), whose sum is σ = 2197776. Its totient is φ = 268800.

The previous prime is 828523. The next prime is 828547. The reversal of 828528 is 825828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828523) by changing a digit.

828528 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 7 ways as a sum of consecutive naturals, for example, 1758 + ... + 2178.

2⁸²⁸⁵²⁸ 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 828528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098888).

828528 is an abundant number, since it is smaller than the sum of its proper divisors (1369248).

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

828528 is a wasteful number, since it uses less digits than its factorization.

828528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

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

The square root of 828528 is about 910.2351344570. The cubic root of 828528 is about 93.9223744233.

The spelling of 828528 in words is "eight hundred twenty-eight thousand, five hundred twenty-eight".