282968640 has 196 divisors, whose sum is σ = 1011099324. Its totient is φ = 75396096.

The previous prime is 282968629. The next prime is 282968677. The reversal of 282968640 is 46869282.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 235192896 = 6912^2 + 15336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 232674 + ... + 233886.

Almost surely, 2^282968640 is an apocalyptic number.

282968640 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 282968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505549662).

282968640 is an abundant number, since it is smaller than the sum of its proper divisors (728130684).

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

282968640 is an equidigital number, since it uses as much as digits as its factorization.

282968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 282968640 is about 16821.6717361860. The cubic root of 282968640 is about 656.5171907909.

The spelling of 282968640 in words is "two hundred eighty-two million, nine hundred sixty-eight thousand, six hundred forty".