282828282828 has 288 divisors, whose sum is σ = 857566116288. Its totient is φ = 71850240000.

The previous prime is 282828282823. The next prime is 282828282829. The reversal of 282828282828 is 828282828282.

282828282828 is an undulating number in base 10.

282828282828 is a modest number, since divided by 28282828 gives 2828 as remainder.

It is not an unprimeable number, because it can be changed into a prime (282828282823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28560678 + ... + 28570578.

It is an arithmetic number, because the mean of its divisors is an integer number (2977660126).

Almost surely, 2^282828282828 is an apocalyptic number.

282828282828 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 282828282828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428783058144).

282828282828 is an abundant number, since it is smaller than the sum of its proper divisors (574737833460).

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

282828282828 is a wasteful number, since it uses less digits than its factorization.

282828282828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10073 (or 10064 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 60.

The spelling of 282828282828 in words is "two hundred eighty-two billion, eight hundred twenty-eight million, two hundred eighty-two thousand, eight hundred twenty-eight".