128381568 has 96 divisors (see below), whose sum is σ = 396747360. Its totient is φ = 36675072.

The previous prime is 128381563. The next prime is 128381587. The reversal of 128381568 is 865183821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (128381563) 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 11 ways as a sum of consecutive naturals, for example, 15405 + ... + 22227.

It is an arithmetic number, because the mean of its divisors is an integer number (4132785).

Almost surely, 2^128381568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198373680).

128381568 is an abundant number, since it is smaller than the sum of its proper divisors (268365792).

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

128381568 is an equidigital number, since it uses as much as digits as its factorization.

128381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6835 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 128381568 is about 11330.5590329869. The cubic root of 128381568 is about 504.4686997953.

The spelling of 128381568 in words is "one hundred twenty-eight million, three hundred eighty-one thousand, five hundred sixty-eight".