54128 has 20 divisors (see below), whose sum is σ = 111600. Its totient is φ = 25344.

The previous prime is 54121. The next prime is 54133. The reversal of 54128 is 82145.

54128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54121) by changing a digit.

54128 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, 173 + ... + 371.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2⁵⁴¹²⁸ 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 54128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

54128 is an abundant number, since it is smaller than the sum of its proper divisors (57472).

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

54128 is a wasteful number, since it uses less digits than its factorization.

54128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 54128 is about 232.6542499075. The cubic root of 54128 is about 37.8274727263.

The spelling of 54128 in words is "fifty-four thousand, one hundred twenty-eight".