282128560 has 80 divisors (see below), whose sum is σ = 762451200. Its totient is φ = 95079168.

The previous prime is 282128533. The next prime is 282128579. The reversal of 282128560 is 65821282.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 28771 + ... + 37309.

It is an arithmetic number, because the mean of its divisors is an integer number (9530640).

Almost surely, 2^282128560 is an apocalyptic number.

282128560 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 282128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381225600).

282128560 is an abundant number, since it is smaller than the sum of its proper divisors (480322640).

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

282128560 is a wasteful number, since it uses less digits than its factorization.

282128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8618 (or 8612 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 282128560 is about 16796.6830058795. The cubic root of 282128560 is about 655.8668552903.

The spelling of 282128560 in words is "two hundred eighty-two million, one hundred twenty-eight thousand, five hundred sixty".