288288 has 144 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 69120.

The previous prime is 288283. The next prime is 288293. The reversal of 288288 is 882882.

It is an interprime number because it is at equal distance from previous prime (288283) and next prime (288293).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (288283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22170 + ... + 22182.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2²⁸⁸²⁸⁸ is an apocalyptic number.

288288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550368).

288288 is an abundant number, since it is smaller than the sum of its proper divisors (812448).

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

288288 is a wasteful number, since it uses less digits than its factorization.

288288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 288288 is about 536.9245757087. The cubic root of 288288 is about 66.0605504927.

288288 divided by its sum of digits (36) gives a palindrome (8008).

Multiplying 288288 by its reverse (882882), we get a square (254524286016 = 504504²).

It can be divided in two parts, 288 and 288, that added together give a square (576 = 24²).

The spelling of 288288 in words is "two hundred eighty-eight thousand, two hundred eighty-eight".