288855728640 has 320 divisors, whose sum is σ = 1027318533120. Its totient is φ = 76932218880.

The previous prime is 288855728639. The next prime is 288855728647. The reversal of 288855728640 is 46827558882.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (288855728647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68495812 + ... + 68500028.

It is an arithmetic number, because the mean of its divisors is an integer number (3210370416).

Almost surely, 2^288855728640 is an apocalyptic number.

288855728640 is a gapful number since it is divisible by the number (20) 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 288855728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513659266560).

288855728640 is an abundant number, since it is smaller than the sum of its proper divisors (738462804480).

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

288855728640 is an equidigital number, since it uses as much as digits as its factorization.

288855728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 288855728640 in words is "two hundred eighty-eight billion, eight hundred fifty-five million, seven hundred twenty-eight thousand, six hundred forty".