282183264 has 144 divisors (see below), whose sum is σ = 908107200. Its totient is φ = 85484160.

The previous prime is 282183257. The next prime is 282183277. The reversal of 282183264 is 462381282.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 83887 + ... + 87185.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^282183264 is an apocalyptic number.

282183264 is a gapful number since it is divisible by the number (24) 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 282183264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454053600).

282183264 is an abundant number, since it is smaller than the sum of its proper divisors (625923936).

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

282183264 is a wasteful number, since it uses less digits than its factorization.

282183264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3315 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 282183264 is about 16798.3113437036. The cubic root of 282183264 is about 655.9092428479.

The spelling of 282183264 in words is "two hundred eighty-two million, one hundred eighty-three thousand, two hundred sixty-four".