282364368 has 160 divisors (see below), whose sum is σ = 885276672. Its totient is φ = 76377600.

The previous prime is 282364349. The next prime is 282364421. The reversal of 282364368 is 863463282.

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

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 31 ways as a sum of consecutive naturals, for example, 212121 + ... + 213447.

Almost surely, 2^282364368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282364368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442638336).

282364368 is an abundant number, since it is smaller than the sum of its proper divisors (602912304).

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

282364368 is a wasteful number, since it uses less digits than its factorization.

282364368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 282364368 is about 16803.7010209061. The cubic root of 282364368 is about 656.0495327460.

The spelling of 282364368 in words is "two hundred eighty-two million, three hundred sixty-four thousand, three hundred sixty-eight".