2888641728 has 168 divisors, whose sum is σ = 9656368800. Its totient is φ = 825269760.

The previous prime is 2888641709. The next prime is 2888641729. The reversal of 2888641728 is 8271468882.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (2888641729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 190258 + ... + 204878.

Almost surely, 2^2888641728 is an apocalyptic number.

2888641728 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 2888641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828184400).

2888641728 is an abundant number, since it is smaller than the sum of its proper divisors (6767727072).

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

2888641728 is a wasteful number, since it uses less digits than its factorization.

2888641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 14633 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 2888641728 is about 53746.0856993326. The cubic root of 2888641728 is about 1424.1789427108.

The spelling of 2888641728 in words is "two billion, eight hundred eighty-eight million, six hundred forty-one thousand, seven hundred twenty-eight".