828282 has 64 divisors (see below), whose sum is σ = 2145024. Its totient is φ = 207360.

The previous prime is 828277. The next prime is 828349. The reversal of 828282 is 282828.

828282 is an undulating number in base 10.

828282 is a modest number, since divided by 8282 gives 82 as remainder.

It is an unprimeable number.

828282 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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

It is an upside-down number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20182 + ... + 20222.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁸²⁸²⁸² is an apocalyptic number.

828282 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 828282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072512).

828282 is an abundant number, since it is smaller than the sum of its proper divisors (1316742).

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

828282 is a wasteful number, since it uses less digits than its factorization.

828282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its digits is 4096, while the sum is 30.

The square root of 828282 is about 910.0999945061. The cubic root of 828282 is about 93.9130779395.

The spelling of 828282 in words is "eight hundred twenty-eight thousand, two hundred eighty-two".