286368768 has 264 divisors, whose sum is σ = 991206528. Its totient is φ = 77856768.

The previous prime is 286368767. The next prime is 286368769. The reversal of 286368768 is 867863682.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (286368767) and next prime (286368769).

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 (286368763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483680 + ... + 1483872.

Almost surely, 2^286368768 is an apocalyptic number.

286368768 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 286368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495603264).

286368768 is an abundant number, since it is smaller than the sum of its proper divisors (704837760).

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

286368768 is a wasteful number, since it uses less digits than its factorization.

286368768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 228 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 286368768 is about 16922.4338675026. The cubic root of 286368768 is about 659.1362806415.

It can be divided in two parts, 2863 and 68768, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 286368768 in words is "two hundred eighty-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".