286720768 has 36 divisors (see below), whose sum is σ = 575610840. Its totient is φ = 142536704.

The previous prime is 286720751. The next prime is 286720769. The reversal of 286720768 is 867027682.

It is not an unprimeable number, because it can be changed into a prime (286720769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42696 + ... + 48952.

It is an arithmetic number, because the mean of its divisors is an integer number (15989190).

Almost surely, 2^286720768 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 286720768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287805420).

286720768 is an abundant number, since it is smaller than the sum of its proper divisors (288890072).

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

286720768 is an equidigital number, since it uses as much as digits as its factorization.

286720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The square root of 286720768 is about 16932.8310686666. The cubic root of 286720768 is about 659.4062367239.

The spelling of 286720768 in words is "two hundred eighty-six million, seven hundred twenty thousand, seven hundred sixty-eight".