288228 has 12 divisors (see below), whose sum is σ = 672560. Its totient is φ = 96072.

The previous prime is 288227. The next prime is 288241. The reversal of 288228 is 822882.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 288195 and 288204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288228.

It is not an unprimeable number, because it can be changed into a prime (288227) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11998 + ... + 12021.

2²⁸⁸²²⁸ is an apocalyptic number.

It is an amenable number.

288228 is an abundant number, since it is smaller than the sum of its proper divisors (384332).

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

288228 is a wasteful number, since it uses less digits than its factorization.

288228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24026 (or 24024 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 288228 is about 536.8686990317. The cubic root of 288228 is about 66.0559672194.

It can be divided in two parts, 28 and 8228, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 288228 in words is "two hundred eighty-eight thousand, two hundred twenty-eight".