288317328 has 80 divisors (see below), whose sum is σ = 837029760. Its totient is φ = 84851712.

The previous prime is 288317321. The next prime is 288317383. The reversal of 288317328 is 823713882.

It is a self number, because there is not a number n which added to its sum of digits gives 288317328.

It is not an unprimeable number, because it can be changed into a prime (288317321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4308 + ... + 24396.

It is an arithmetic number, because the mean of its divisors is an integer number (10462872).

Almost surely, 2^288317328 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 288317328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418514880).

288317328 is an abundant number, since it is smaller than the sum of its proper divisors (548712432).

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

288317328 is a wasteful number, since it uses less digits than its factorization.

288317328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20136 (or 20130 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 288317328 is about 16979.9095403951. The cubic root of 288317328 is about 660.6279056525.

It can be divided in two parts, 2883 and 17328, that multiplied together give a square (49956624 = 7068²).

The spelling of 288317328 in words is "two hundred eighty-eight million, three hundred seventeen thousand, three hundred twenty-eight".