288963648 has 84 divisors (see below), whose sum is σ = 855033088. Its totient is φ = 93208320.

The previous prime is 288963641. The next prime is 288963677. The reversal of 288963648 is 846369882.

288963648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 288963594 and 288963603.

It is not an unprimeable number, because it can be changed into a prime (288963641) 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 11 ways as a sum of consecutive naturals, for example, 9765 + ... + 25947.

Almost surely, 2^288963648 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 288963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427516544).

288963648 is an abundant number, since it is smaller than the sum of its proper divisors (566069440).

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

288963648 is a wasteful number, since it uses less digits than its factorization.

288963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16232 (or 16219 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 288963648 is about 16998.9307899056. The cubic root of 288963648 is about 661.1211797089.

The spelling of 288963648 in words is "two hundred eighty-eight million, nine hundred sixty-three thousand, six hundred forty-eight".