288369564 has 192 divisors, whose sum is σ = 846569472. Its totient is φ = 74649600.

The previous prime is 288369563. The next prime is 288369569. The reversal of 288369564 is 465963882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288369563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3950232 + ... + 3950304.

It is an arithmetic number, because the mean of its divisors is an integer number (4409216).

Almost surely, 2^288369564 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 288369564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423284736).

288369564 is an abundant number, since it is smaller than the sum of its proper divisors (558199908).

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

288369564 is a wasteful number, since it uses less digits than its factorization.

288369564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 288369564 is about 16981.4476414704. The cubic root of 288369564 is about 660.6677997462.

The spelling of 288369564 in words is "two hundred eighty-eight million, three hundred sixty-nine thousand, five hundred sixty-four".