288409980768 has 384 divisors, whose sum is σ = 984789550080. Its totient is φ = 71769784320.

The previous prime is 288409980751. The next prime is 288409980769. The reversal of 288409980768 is 867089904882.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288409980769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42654508 + ... + 42661268.

It is an arithmetic number, because the mean of its divisors is an integer number (2564556120).

Almost surely, 2^288409980768 is an apocalyptic number.

288409980768 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 288409980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492394775040).

288409980768 is an abundant number, since it is smaller than the sum of its proper divisors (696379569312).

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

288409980768 is a wasteful number, since it uses less digits than its factorization.

288409980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7062 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 288409980768 in words is "two hundred eighty-eight billion, four hundred nine million, nine hundred eighty thousand, seven hundred sixty-eight".