288564224 has 88 divisors (see below), whose sum is σ = 634488120. Its totient is φ = 130351104.

The previous prime is 288564217. The next prime is 288564247. The reversal of 288564224 is 422465882.

It can be written as a sum of positive squares in 4 ways, for example, as 80281600 + 208282624 = 8960^2 + 14432^2 .

It is a super-2 number, since 2×288564224² = 166538622745444352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 705332 + ... + 705740.

Almost surely, 2^288564224 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 288564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317244060).

288564224 is an abundant number, since it is smaller than the sum of its proper divisors (345923896).

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

288564224 is a wasteful number, since it uses less digits than its factorization.

288564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 477 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 288564224 is about 16987.1782235897. The cubic root of 288564224 is about 660.8164246162.

The spelling of 288564224 in words is "two hundred eighty-eight million, five hundred sixty-four thousand, two hundred twenty-four".