128227968 has 128 divisors (see below), whose sum is σ = 412977600. Its totient is φ = 38845440.

The previous prime is 128227943. The next prime is 128227973. The reversal of 128227968 is 869722821.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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, 36330 + ... + 39702.

Almost surely, 2^128227968 is an apocalyptic number.

128227968 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 128227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206488800).

128227968 is an abundant number, since it is smaller than the sum of its proper divisors (284749632).

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

128227968 is a wasteful number, since it uses less digits than its factorization.

128227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3389 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 128227968 is about 11323.7788745630. The cubic root of 128227968 is about 504.2674317668.

It can be divided in two parts, 1 and 28227968, that added together give a square (28227969 = 5313²).

The spelling of 128227968 in words is "one hundred twenty-eight million, two hundred twenty-seven thousand, nine hundred sixty-eight".