282288240 has 240 divisors, whose sum is σ = 1059703008. Its totient is φ = 69424128.

The previous prime is 282288203. The next prime is 282288241. The reversal of 282288240 is 42882282.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 282288195 and 282288204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282288241) by changing a digit.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252162 + ... + 253278.

Almost surely, 2^282288240 is an apocalyptic number.

282288240 is a gapful number since it is divisible by the number (20) 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 282288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529851504).

282288240 is an abundant number, since it is smaller than the sum of its proper divisors (777414768).

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

282288240 is a wasteful number, since it uses less digits than its factorization.

282288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 282288240 is about 16801.4356529435. The cubic root of 282288240 is about 655.9905684744.

The spelling of 282288240 in words is "two hundred eighty-two million, two hundred eighty-eight thousand, two hundred forty".