128001728 has 56 divisors (see below), whose sum is σ = 264566400. Its totient is φ = 61378560.

The previous prime is 128001719. The next prime is 128001751. The reversal of 128001728 is 827100821.

128001728 is a modest number, since divided by 1728 gives 128 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 128001728.

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 7 ways as a sum of consecutive naturals, for example, 295400 + ... + 295832.

It is an arithmetic number, because the mean of its divisors is an integer number (4724400).

Almost surely, 2^128001728 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 128001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132283200).

128001728 is an abundant number, since it is smaller than the sum of its proper divisors (136564672).

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

128001728 is a wasteful number, since it uses less digits than its factorization.

128001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 128001728 is about 11313.7848662594. The cubic root of 128001728 is about 503.9706878056.

The spelling of 128001728 in words is "one hundred twenty-eight million, one thousand, seven hundred twenty-eight".