288087680 has 32 divisors (see below), whose sum is σ = 688711140. Its totient is φ = 115234816.

The previous prime is 288087637. The next prime is 288087703. The reversal of 288087680 is 86780882.

It can be written as a sum of positive squares in 2 ways, for example, as 253701184 + 34386496 = 15928^2 + 5864^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×288087680² = 165989022735564800, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 224429 + ... + 225708.

Almost surely, 2^288087680 is an apocalyptic number.

288087680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288087680 is an abundant number, since it is smaller than the sum of its proper divisors (400623460).

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

288087680 is an equidigital number, since it uses as much as digits as its factorization.

288087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450156 (or 450144 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 288087680 is about 16973.1458486634. The cubic root of 288087680 is about 660.4524598729.

The spelling of 288087680 in words is "two hundred eighty-eight million, eighty-seven thousand, six hundred eighty".