288803232 has 120 divisors (see below), whose sum is σ = 862557696. Its totient is φ = 94773888.

The previous prime is 288803213. The next prime is 288803233. The reversal of 288803232 is 232308882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (288803233) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 172833 + ... + 174495.

Almost surely, 2^288803232 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 288803232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431278848).

288803232 is an abundant number, since it is smaller than the sum of its proper divisors (573754464).

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

288803232 is a wasteful number, since it uses less digits than its factorization.

288803232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 288803232 is about 16994.2117204653. The cubic root of 288803232 is about 660.9988182434.

The spelling of 288803232 in words is "two hundred eighty-eight million, eight hundred three thousand, two hundred thirty-two".