288668976 has 160 divisors (see below), whose sum is σ = 852445440. Its totient is φ = 83607552.

The previous prime is 288668969. The next prime is 288669013. The reversal of 288668976 is 679866882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666456 + ... + 666888.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^288668976 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 288668976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426222720).

288668976 is an abundant number, since it is smaller than the sum of its proper divisors (563776464).

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

288668976 is a wasteful number, since it uses less digits than its factorization.

288668976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 517 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 288668976 is about 16990.2612104700. The cubic root of 288668976 is about 660.8963761625.

The spelling of 288668976 in words is "two hundred eighty-eight million, six hundred sixty-eight thousand, nine hundred seventy-six".