288249984 has 288 divisors, whose sum is σ = 967926960. Its totient is φ = 81607680.

The previous prime is 288249971. The next prime is 288249991. The reversal of 288249984 is 489942882.

288249984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 288249984.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6703467 + ... + 6703509.

Almost surely, 2^288249984 is an apocalyptic number.

288249984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483963480).

288249984 is an abundant number, since it is smaller than the sum of its proper divisors (679676976).

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

288249984 is a wasteful number, since it uses less digits than its factorization.

288249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 288249984 is about 16977.9263751496. The cubic root of 288249984 is about 660.5764660457.

The spelling of 288249984 in words is "two hundred eighty-eight million, two hundred forty-nine thousand, nine hundred eighty-four".