282064128 has 72 divisors (see below), whose sum is σ = 760368000. Its totient is φ = 92811264.

The previous prime is 282064087. The next prime is 282064141. The reversal of 282064128 is 821460282.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58348 + ... + 62996.

Almost surely, 2^282064128 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 282064128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380184000).

282064128 is an abundant number, since it is smaller than the sum of its proper divisors (478303872).

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

282064128 is an equidigital number, since it uses as much as digits as its factorization.

282064128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 282064128 is about 16794.7648986224. The cubic root of 282064128 is about 655.8169229348.

The spelling of 282064128 in words is "two hundred eighty-two million, sixty-four thousand, one hundred twenty-eight".