128320192 has 112 divisors (see below), whose sum is σ = 342058752. Its totient is φ = 46126080.

The previous prime is 128320189. The next prime is 128320207. The reversal of 128320192 is 291023821.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 128320192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63063 + ... + 65065.

It is an arithmetic number, because the mean of its divisors is an integer number (3054096).

Almost surely, 2^128320192 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 128320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171029376).

128320192 is an abundant number, since it is smaller than the sum of its proper divisors (213738560).

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

128320192 is a wasteful number, since it uses less digits than its factorization.

128320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 128320192 is about 11327.8502814965. The cubic root of 128320192 is about 504.3882957134.

The spelling of 128320192 in words is "one hundred twenty-eight million, three hundred twenty thousand, one hundred ninety-two".