282444282 has 48 divisors (see below), whose sum is σ = 636480000. Its totient is φ = 90411552.

The previous prime is 282444241. The next prime is 282444287.

It is a happy number.

282444282 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (282444287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102519 + ... + 105237.

It is an arithmetic number, because the mean of its divisors is an integer number (13260000).

Almost surely, 2^282444282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282444282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318240000).

282444282 is an abundant number, since it is smaller than the sum of its proper divisors (354035718).

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

282444282 is a wasteful number, since it uses less digits than its factorization.

282444282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2952 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 282444282 is about 16806.0787217007. The cubic root of 282444282 is about 656.1114180299. Note that the first 3 decimals are identical.

The spelling of 282444282 in words is "two hundred eighty-two million, four hundred forty-four thousand, two hundred eighty-two".