288233984 has 40 divisors (see below), whose sum is σ = 579525408. Its totient is φ = 143211520.

The previous prime is 288233969. The next prime is 288234007. The reversal of 288233984 is 489332882.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83819 + ... + 87189.

Almost surely, 2^288233984 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 288233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289762704).

288233984 is an abundant number, since it is smaller than the sum of its proper divisors (291291424).

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

288233984 is an equidigital number, since it uses as much as digits as its factorization.

288233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3540 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 288233984 is about 16977.4551685463. The cubic root of 288233984 is about 660.5642435310.

The spelling of 288233984 in words is "two hundred eighty-eight million, two hundred thirty-three thousand, nine hundred eighty-four".