282981888 has 240 divisors, whose sum is σ = 966890496. Its totient is φ = 77967360.

The previous prime is 282981851. The next prime is 282981889. The reversal of 282981888 is 888189282.

282981888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282981889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999795 + ... + 1000077.

Almost surely, 2^282981888 is an apocalyptic number.

282981888 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 282981888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483445248).

282981888 is an abundant number, since it is smaller than the sum of its proper divisors (683908608).

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

282981888 is a wasteful number, since it uses less digits than its factorization.

282981888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 326 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The square root of 282981888 is about 16822.0655093244. The cubic root of 282981888 is about 656.5274362184.

The spelling of 282981888 in words is "two hundred eighty-two million, nine hundred eighty-one thousand, eight hundred eighty-eight".