288387 has 16 divisors (see below), whose sum is σ = 466560. Its totient is φ = 174600.

The previous prime is 288383. The next prime is 288389. The reversal of 288387 is 783882.

It is not a de Polignac number, because 288387 - 2² = 288383 is a prime.

288387 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288387.

It is not an unprimeable number, because it can be changed into a prime (288383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (29160).

2²⁸⁸³⁸⁷ is an apocalyptic number.

288387 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

288387 is a deficient number, since it is larger than the sum of its proper divisors (178173).

288387 is a wasteful number, since it uses less digits than its factorization.

288387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 288387 is about 537.0167595150. The cubic root of 288387 is about 66.0681115034.

The spelling of 288387 in words is "two hundred eighty-eight thousand, three hundred eighty-seven".