828516 has 48 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 247296.

The previous prime is 828449. The next prime is 828517. The reversal of 828516 is 615828.

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 828516.

It is not an unprimeable number, because it can be changed into a prime (828517) by changing a digit.

828516 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 15 ways as a sum of consecutive naturals, for example, 7276 + ... + 7388.

It is an arithmetic number, because the mean of its divisors is an integer number (44688).

2⁸²⁸⁵¹⁶ 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 828516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

828516 is an abundant number, since it is smaller than the sum of its proper divisors (1316508).

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

828516 is a wasteful number, since it uses less digits than its factorization.

828516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 828516 is about 910.2285427298. The cubic root of 828516 is about 93.9219209789.

The spelling of 828516 in words is "eight hundred twenty-eight thousand, five hundred sixteen".