287768 has 16 divisors (see below), whose sum is σ = 581280. Its totient is φ = 132768.

The previous prime is 287747. The next prime is 287783. The reversal of 287768 is 867782.

It is a d-powerful number, because it can be written as 2¹⁰ + 8⁴ + 7⁴ + 7⁵ + 6⁴ + 8⁶ .

It is a congruent number.

It is an unprimeable number.

287768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1280 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (36330).

2²⁸⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

287768 is an abundant number, since it is smaller than the sum of its proper divisors (293512).

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

287768 is a wasteful number, since it uses less digits than its factorization.

287768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2782 counting only the distinct ones).

The product of its digits is 37632, while the sum is 38.

The square root of 287768 is about 536.4401178137. The cubic root of 287768 is about 66.0208076420.

The spelling of 287768 in words is "two hundred eighty-seven thousand, seven hundred sixty-eight".