128361968 has 60 divisors (see below), whose sum is σ = 306355392. Its totient is φ = 51770880.

The previous prime is 128361949. The next prime is 128361973. The reversal of 128361968 is 869163821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8513 + ... + 18143.

Almost surely, 2^128361968 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 128361968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153177696).

128361968 is an abundant number, since it is smaller than the sum of its proper divisors (177993424).

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

128361968 is a wasteful number, since it uses less digits than its factorization.

128361968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9670 (or 9657 counting only the distinct ones).

The product of its digits is 124416, while the sum is 44.

The square root of 128361968 is about 11329.6940823660. The cubic root of 128361968 is about 504.4430260949.

The spelling of 128361968 in words is "one hundred twenty-eight million, three hundred sixty-one thousand, nine hundred sixty-eight".