288788467968 has 720 divisors, whose sum is σ = 1156265421696. Its totient is φ = 69235015680.

The previous prime is 288788467949. The next prime is 288788467987. The reversal of 288788467968 is 869764887882.

288788467968 is a `hidden beast` number, since 2 + 88 + 78 + 8 + 467 + 9 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (288788467949) and next prime (288788467987).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

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 79 ways as a sum of consecutive naturals, for example, 20749780 + ... + 20763692.

Almost surely, 2^288788467968 is an apocalyptic number.

288788467968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288788467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578132710848).

288788467968 is an abundant number, since it is smaller than the sum of its proper divisors (867476953728).

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

288788467968 is a wasteful number, since it uses less digits than its factorization.

288788467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13972 (or 13949 counting only the distinct ones).

The product of its digits is 4161798144, while the sum is 81.

The spelling of 288788467968 in words is "two hundred eighty-eight billion, seven hundred eighty-eight million, four hundred sixty-seven thousand, nine hundred sixty-eight".