288039048 has 128 divisors (see below), whose sum is σ = 809533440. Its totient is φ = 85377600.

The previous prime is 288038987. The next prime is 288039061. The reversal of 288039048 is 840930882.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2267961 + ... + 2268087.

It is an arithmetic number, because the mean of its divisors is an integer number (6324480).

Almost surely, 2^288039048 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 288039048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404766720).

288039048 is an abundant number, since it is smaller than the sum of its proper divisors (521494392).

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

288039048 is a wasteful number, since it uses less digits than its factorization.

288039048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 288039048 is about 16971.7131722169. The cubic root of 288039048 is about 660.4152941837.

The spelling of 288039048 in words is "two hundred eighty-eight million, thirty-nine thousand, forty-eight".