128484 has 36 divisors (see below), whose sum is σ = 336336. Its totient is φ = 41328.

The previous prime is 128483. The next prime is 128489. The reversal of 128484 is 484821.

128484 = 16³ + 17³ + ... + 27³.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (128483) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1507 + ... + 1589.

2¹²⁸⁴⁸⁴ 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 128484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168).

128484 is an abundant number, since it is smaller than the sum of its proper divisors (207852).

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

128484 is a wasteful number, since it uses less digits than its factorization.

128484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 128484 is about 358.4466487499. The cubic root of 128484 is about 50.4602831202.

The spelling of 128484 in words is "one hundred twenty-eight thousand, four hundred eighty-four".