828360 has 128 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 200448.

The previous prime is 828349. The next prime is 828361. The reversal of 828360 is 63828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828361) by changing a digit.

828360 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 31 ways as a sum of consecutive naturals, for example, 14011 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (23625).

2⁸²⁸³⁶⁰ 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 828360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

828360 is an abundant number, since it is smaller than the sum of its proper divisors (2195640).

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

828360 is a wasteful number, since it uses less digits than its factorization.

828360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 828360 is about 910.1428459313. The cubic root of 828360 is about 93.9160258044.

The spelling of 828360 in words is "eight hundred twenty-eight thousand, three hundred sixty".