288265360 has 20 divisors (see below), whose sum is σ = 670217148. Its totient is φ = 115306112.

The previous prime is 288265343. The next prime is 288265361. The reversal of 288265360 is 63562882.

288265360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 59166864 + 229098496 = 7692^2 + 15136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (288265361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1801579 + ... + 1801738.

Almost surely, 2^288265360 is an apocalyptic number.

288265360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288265360 is an abundant number, since it is smaller than the sum of its proper divisors (381951788).

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

288265360 is a wasteful number, since it uses less digits than its factorization.

288265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603330 (or 3603324 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 288265360 is about 16978.3791923729. The cubic root of 288265360 is about 660.5882114562.

The spelling of 288265360 in words is "two hundred eighty-eight million, two hundred sixty-five thousand, three hundred sixty".