288307968 has 144 divisors (see below), whose sum is σ = 840623616. Its totient is φ = 87183360.

The previous prime is 288307949. The next prime is 288307973. The reversal of 288307968 is 869703882.

288307968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 288307968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668713 + ... + 669143.

It is an arithmetic number, because the mean of its divisors is an integer number (5837664).

Almost surely, 2^288307968 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 288307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420311808).

288307968 is an abundant number, since it is smaller than the sum of its proper divisors (552315648).

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

288307968 is a wasteful number, since it uses less digits than its factorization.

288307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 288307968 is about 16979.6339183152. The cubic root of 288307968 is about 660.6207566498.

The spelling of 288307968 in words is "two hundred eighty-eight million, three hundred seven thousand, nine hundred sixty-eight".