52128 has 36 divisors (see below), whose sum is σ = 149058. Its totient is φ = 17280.

The previous prime is 52127. The next prime is 52147. The reversal of 52128 is 82125.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 144 = 228^2 + 12^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 52128.

It is not an unprimeable number, because it can be changed into a prime (52121) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 198 + ... + 378.

2⁵²¹²⁸ 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 52128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74529).

52128 is an abundant number, since it is smaller than the sum of its proper divisors (96930).

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

52128 is a wasteful number, since it uses less digits than its factorization.

52128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 186 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 52128 is about 228.3155710853. The cubic root of 52128 is about 37.3557122062.

The spelling of 52128 in words is "fifty-two thousand, one hundred twenty-eight".