282163968 has 216 divisors, whose sum is σ = 870498720. Its totient is φ = 87736320.

The previous prime is 282163957. The next prime is 282163969. The reversal of 282163968 is 869361282.

282163968 = 472² + 473² + ... + 983².

282163968 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 639 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (282163969) by changing a digit.

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, 2739405 + ... + 2739507.

Almost surely, 2^282163968 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 282163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435249360).

282163968 is an abundant number, since it is smaller than the sum of its proper divisors (588334752).

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

282163968 is a wasteful number, since it uses less digits than its factorization.

282163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 178 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 282163968 is about 16797.7369904401. The cubic root of 282163968 is about 655.8942919102.

The spelling of 282163968 in words is "two hundred eighty-two million, one hundred sixty-three thousand, nine hundred sixty-eight".