128031968 has 24 divisors (see below), whose sum is σ = 252323568. Its totient is φ = 63949824.

The previous prime is 128031919. The next prime is 128031977. The reversal of 128031968 is 869130821.

128031968 is a modest number, since divided by 31968 gives 128 as remainder.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 48080 + ... + 50672.

It is an arithmetic number, because the mean of its divisors is an integer number (10513482).

Almost surely, 2^128031968 is an apocalyptic number.

It is an amenable number.

128031968 is a deficient number, since it is larger than the sum of its proper divisors (124291600).

128031968 is a wasteful number, since it uses less digits than its factorization.

128031968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 128031968 is about 11315.1212101329. The cubic root of 128031968 is about 504.0103718366.

The spelling of 128031968 in words is "one hundred twenty-eight million, thirty-one thousand, nine hundred sixty-eight".