128384 has 32 divisors (see below), whose sum is σ = 275400. Its totient is φ = 59392.

The previous prime is 128377. The next prime is 128389. The reversal of 128384 is 483821.

It is a tau number, because it is divible by the number of its divisors (32).

128384 is a modest number, since divided by 384 gives 128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128389) by changing a digit.

128384 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2147 + ... + 2205.

2¹²⁸³⁸⁴ 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 128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137700).

128384 is an abundant number, since it is smaller than the sum of its proper divisors (147016).

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

128384 is an equidigital number, since it uses as much as digits as its factorization.

128384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 128384 is about 358.3071308249. The cubic root of 128384 is about 50.4471885248.

It can be divided in two parts, 128 and 384, that added together give a 9-th power (512 = 2⁹).

The spelling of 128384 in words is "one hundred twenty-eight thousand, three hundred eighty-four".