128033568 has 96 divisors (see below), whose sum is σ = 402192000. Its totient is φ = 39391488.

The previous prime is 128033551. The next prime is 128033569. The reversal of 128033568 is 865330821.

128033568 is a `hidden beast` number, since 12 + 80 + 3 + 3 + 568 = 666.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (128033569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5533 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^128033568 is an apocalyptic number.

128033568 is a gapful number since it is divisible by the number (18) 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 128033568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201096000).

128033568 is an abundant number, since it is smaller than the sum of its proper divisors (274158432).

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

128033568 is a wasteful number, since it uses less digits than its factorization.

128033568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431 (or 11417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 128033568 is about 11315.1919117618. The cubic root of 128033568 is about 504.0124713467.

The spelling of 128033568 in words is "one hundred twenty-eight million, thirty-three thousand, five hundred sixty-eight".