282032640 has 120 divisors (see below), whose sum is σ = 976838148. Its totient is φ = 75202560.

The previous prime is 282032623. The next prime is 282032677. The reversal of 282032640 is 46230282.

It can be written as a sum of positive squares in 2 ways, for example, as 271063296 + 10969344 = 16464^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16920 + ... + 29160.

Almost surely, 2^282032640 is an apocalyptic number.

282032640 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 282032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488419074).

282032640 is an abundant number, since it is smaller than the sum of its proper divisors (694805508).

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

282032640 is a wasteful number, since it uses less digits than its factorization.

282032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 282032640 is about 16793.8274374843. The cubic root of 282032640 is about 655.7925181634.

The spelling of 282032640 in words is "two hundred eighty-two million, thirty-two thousand, six hundred forty".