288072648 has 24 divisors (see below), whose sum is σ = 780196950. Its totient is φ = 96024192.

The previous prime is 288072641. The next prime is 288072679. The reversal of 288072648 is 846270882.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 191600964 + 96471684 = 13842^2 + 9822^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (288072641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2000433 + ... + 2000576.

Almost surely, 2^288072648 is an apocalyptic number.

It is an amenable number.

288072648 is an abundant number, since it is smaller than the sum of its proper divisors (492124302).

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

288072648 is a wasteful number, since it uses less digits than its factorization.

288072648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001021 (or 4001014 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 288072648 is about 16972.7030257411. The cubic root of 288072648 is about 660.4409725206.

The spelling of 288072648 in words is "two hundred eighty-eight million, seventy-two thousand, six hundred forty-eight".