288280 has 16 divisors (see below), whose sum is σ = 648720. Its totient is φ = 115296.

The previous prime is 288257. The next prime is 288283. The reversal of 288280 is 82882.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288283) 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 3 ways as a sum of consecutive naturals, for example, 3564 + ... + 3643.

It is an arithmetic number, because the mean of its divisors is an integer number (40545).

2²⁸⁸²⁸⁰ is an apocalyptic number.

288280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288280 is an abundant number, since it is smaller than the sum of its proper divisors (360440).

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

288280 is a wasteful number, since it uses less digits than its factorization.

288280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 288280 is about 536.9171258211. The cubic root of 288280 is about 66.0599394263.

The spelling of 288280 in words is "two hundred eighty-eight thousand, two hundred eighty".