282768640 has 288 divisors, whose sum is σ = 894781440. Its totient is φ = 82944000.

The previous prime is 282768631. The next prime is 282768643. The reversal of 282768640 is 46867282.

282768640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282768643) 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 31 ways as a sum of consecutive naturals, for example, 1872565 + ... + 1872715.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2^282768640 is an apocalyptic number.

282768640 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 282768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447390720).

282768640 is an abundant number, since it is smaller than the sum of its proper divisors (612012800).

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

282768640 is a wasteful number, since it uses less digits than its factorization.

282768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 282768640 is about 16815.7259730289. The cubic root of 282768640 is about 656.3624806140.

The spelling of 282768640 in words is "two hundred eighty-two million, seven hundred sixty-eight thousand, six hundred forty".