828366 has 48 divisors (see below), whose sum is σ = 2093952. Its totient is φ = 213840.

The previous prime is 828361. The next prime is 828371. The reversal of 828366 is 663828.

It is an interprime number because it is at equal distance from previous prime (828361) and next prime (828371).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5001 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (43624).

2⁸²⁸³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046976).

828366 is an abundant number, since it is smaller than the sum of its proper divisors (1265586).

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

828366 is a wasteful number, since it uses less digits than its factorization.

828366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 828366 is about 910.1461421113. The cubic root of 828366 is about 93.9162525555.

It can be divided in two parts, 82 and 8366, that added together give a palindrome (8448).

The spelling of 828366 in words is "eight hundred twenty-eight thousand, three hundred sixty-six".