282828 has 72 divisors (see below), whose sum is σ = 849072. Its totient is φ = 72576.

The previous prime is 282827. The next prime is 282833. The reversal of 282828 is 828282.

282828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

282828 is an undulating number in base 10.

282828 is a modest number, since divided by 2828 gives 28 as remainder.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 282795 and 282804.

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 282828.

It is not an unprimeable number, because it can be changed into a prime (282827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7626 + ... + 7662.

2²⁸²⁸²⁸ is an apocalyptic number.

282828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424536).

282828 is an abundant number, since it is smaller than the sum of its proper divisors (566244).

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

282828 is a wasteful number, since it uses less digits than its factorization.

282828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

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

The square root of 282828 is about 531.8157575702. The cubic root of 282828 is about 65.6408406205.

The spelling of 282828 in words is "two hundred eighty-two thousand, eight hundred twenty-eight".