288330966 has 96 divisors (see below), whose sum is σ = 819936000. Its totient is φ = 70943040.

The previous prime is 288330919. The next prime is 288330989. The reversal of 288330966 is 669033882.

288330966 is a `hidden beast` number, since 288 + 3 + 309 + 66 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20860 + ... + 31808.

It is an arithmetic number, because the mean of its divisors is an integer number (8541000).

Almost surely, 2^288330966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288330966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409968000).

288330966 is an abundant number, since it is smaller than the sum of its proper divisors (531605034).

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

288330966 is a wasteful number, since it uses less digits than its factorization.

288330966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10991 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 288330966 is about 16980.3111278916. The cubic root of 288330966 is about 660.6383218392.

The spelling of 288330966 in words is "two hundred eighty-eight million, three hundred thirty thousand, nine hundred sixty-six".