32128 has 16 divisors (see below), whose sum is σ = 64260. Its totient is φ = 16000.

The previous prime is 32119. The next prime is 32141. The reversal of 32128 is 82123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (16).

32128 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

32128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3 + ... + 253.

2³²¹²⁸ 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 32128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32130).

32128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

32128 is an equidigital number, since it uses as much as digits as its factorization.

32128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its digits is 96, while the sum is 16.

The square root of 32128 is about 179.2428520193. The cubic root of 32128 is about 31.7902954182.

It can be divided in two parts, 32 and 128, that multiplied together give a 12-th power (4096 = 2¹²).

The spelling of 32128 in words is "thirty-two thousand, one hundred twenty-eight".