228288 has 56 divisors (see below), whose sum is σ = 640080. Its totient is φ = 71680.

The previous prime is 228281. The next prime is 228299. The reversal of 228288 is 882822.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228281) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5548 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (11430).

2²²⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320040).

228288 is an abundant number, since it is smaller than the sum of its proper divisors (411792).

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

228288 is a wasteful number, since it uses less digits than its factorization.

228288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

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

The square root of 228288 is about 477.7949350925. The cubic root of 228288 is about 61.1168592083.

The spelling of 228288 in words is "two hundred twenty-eight thousand, two hundred eighty-eight".