288224832 has 112 divisors (see below), whose sum is σ = 917488640. Its totient is φ = 78008832.

The previous prime is 288224831. The next prime is 288224837. The reversal of 288224832 is 238422882.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288224831) 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 15 ways as a sum of consecutive naturals, for example, 19893 + ... + 31179.

Almost surely, 2^288224832 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 288224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458744320).

288224832 is an abundant number, since it is smaller than the sum of its proper divisors (629263808).

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

288224832 is a wasteful number, since it uses less digits than its factorization.

288224832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11318 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 288224832 is about 16977.1856324893. The cubic root of 288224832 is about 660.5572520492.

The spelling of 288224832 in words is "two hundred eighty-eight million, two hundred twenty-four thousand, eight hundred thirty-two".