48128 has 22 divisors (see below), whose sum is σ = 98256. Its totient is φ = 23552.

The previous prime is 48121. The next prime is 48131. The reversal of 48128 is 82184.

48128 is nontrivially palindromic in base 3.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48128.

It is not an unprimeable number, because it can be changed into a prime (48121) by changing a digit.

48128 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001 + ... + 1047.

2⁴⁸¹²⁸ 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 48128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49128).

48128 is an abundant number, since it is smaller than the sum of its proper divisors (50128).

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

48128 is an equidigital number, since it uses as much as digits as its factorization.

48128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 49 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 48128 is about 219.3809472128. The cubic root of 48128 is about 36.3746875502.

The spelling of 48128 in words is "forty-eight thousand, one hundred twenty-eight".