218288 has 20 divisors (see below), whose sum is σ = 483600. Its totient is φ = 93504.

The previous prime is 218287. The next prime is 218357. The reversal of 218288 is 882812.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 218288.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 218288.

It is not an unprimeable number, because it can be changed into a prime (218287) 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, 863 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2²¹⁸²⁸⁸ is an apocalyptic number.

218288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218288 is an abundant number, since it is smaller than the sum of its proper divisors (265312).

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

218288 is a wasteful number, since it uses less digits than its factorization.

218288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its digits is 2048, while the sum is 29.

The square root of 218288 is about 467.2130135174. The cubic root of 218288 is about 60.2111082028.

The spelling of 218288 in words is "two hundred eighteen thousand, two hundred eighty-eight".