828520 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 257280.

The previous prime is 828517. The next prime is 828523. The reversal of 828520 is 25828.

It is an interprime number because it is at equal distance from previous prime (828517) and next prime (828523).

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946 + ... + 3214.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁸²⁸⁵²⁰ 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 828520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

828520 is an abundant number, since it is smaller than the sum of its proper divisors (1504280).

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

828520 is a wasteful number, since it uses less digits than its factorization.

828520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 828520 is about 910.2307399775. The cubic root of 828520 is about 93.9220721275.

The spelling of 828520 in words is "eight hundred twenty-eight thousand, five hundred twenty".