288864648 has 36 divisors (see below), whose sum is σ = 782732535. Its totient is φ = 96240144.

The previous prime is 288864643. The next prime is 288864691. The reversal of 288864648 is 846468882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

288864648 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 only one way, i.e., 144432324 + 144432324 = 12018^2 + 12018^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=12018.

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

It is a junction number, because it is equal to n+sod(n) for n = 288864594 and 288864603.

It is not an unprimeable number, because it can be changed into a prime (288864643) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143215 + ... + 145217.

Almost surely, 2^288864648 is an apocalyptic number.

It is an amenable number.

288864648 is an abundant number, since it is smaller than the sum of its proper divisors (493867887).

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

288864648 is an equidigital number, since it uses as much as digits as its factorization.

288864648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 2008 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The square root of 288864648 is about 16996.0185925999. The cubic root of 288864648 is about 661.0456702423.

The spelling of 288864648 in words is "two hundred eighty-eight million, eight hundred sixty-four thousand, six hundred forty-eight".