50128 has 20 divisors (see below), whose sum is σ = 105028. Its totient is φ = 23040.

The previous prime is 50123. The next prime is 50129. The reversal of 50128 is 82105.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 21904 + 28224 = 148^2 + 168^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50123) 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 3 ways as a sum of consecutive naturals, for example, 88 + ... + 328.

2⁵⁰¹²⁸ 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 50128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52514).

50128 is an abundant number, since it is smaller than the sum of its proper divisors (54900).

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

50128 is a wasteful number, since it uses less digits than its factorization.

50128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 50128 is about 223.8928315065. The cubic root of 50128 is about 36.8717252670.

It can be divided in two parts, 501 and 28, that multiplied together give a triangular number (14028 = T₁₆₇).

The spelling of 50128 in words is "fifty thousand, one hundred twenty-eight".