288805248 has 96 divisors (see below), whose sum is σ = 880013160. Its totient is φ = 90599424.

The previous prime is 288805247. The next prime is 288805303. The reversal of 288805248 is 842508882.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288805247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12211 + ... + 26957.

Almost surely, 2^288805248 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 288805248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440006580).

288805248 is an abundant number, since it is smaller than the sum of its proper divisors (591207912).

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

288805248 is a wasteful number, since it uses less digits than its factorization.

288805248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14769 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 288805248 is about 16994.2710346752. The cubic root of 288805248 is about 661.0003562808. Note that the first 3 decimals are identical.

The spelling of 288805248 in words is "two hundred eighty-eight million, eight hundred five thousand, two hundred forty-eight".