282613968 has 360 divisors, whose sum is σ = 1034755200. Its totient is φ = 73592064.

The previous prime is 282613963. The next prime is 282613979. The reversal of 282613968 is 869316282.

282613968 is a `hidden beast` number, since 28 + 2 + 613 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282613963) 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 71 ways as a sum of consecutive naturals, for example, 3577353 + ... + 3577431.

It is an arithmetic number, because the mean of its divisors is an integer number (2874320).

Almost surely, 2^282613968 is an apocalyptic number.

282613968 is a gapful number since it is divisible by the number (28) 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 282613968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517377600).

282613968 is an abundant number, since it is smaller than the sum of its proper divisors (752141232).

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

282613968 is a wasteful number, since it uses less digits than its factorization.

282613968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

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

The square root of 282613968 is about 16811.1263156280. The cubic root of 282613968 is about 656.2427839207.

The spelling of 282613968 in words is "two hundred eighty-two million, six hundred thirteen thousand, nine hundred sixty-eight".