282886560 has 192 divisors, whose sum is σ = 1080293760. Its totient is φ = 68567040.

The previous prime is 282886559. The next prime is 282886567. The reversal of 282886560 is 65688282.

282886560 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 86 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (282886567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44544 + ... + 50496.

It is an arithmetic number, because the mean of its divisors is an integer number (5626530).

Almost surely, 2^282886560 is an apocalyptic number.

282886560 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 282886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540146880).

282886560 is an abundant number, since it is smaller than the sum of its proper divisors (797407200).

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

282886560 is a wasteful number, since it uses less digits than its factorization.

282886560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5988 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 282886560 is about 16819.2318492849. The cubic root of 282886560 is about 656.4537065568.

The spelling of 282886560 in words is "two hundred eighty-two million, eight hundred eighty-six thousand, five hundred sixty".