53128 has 16 divisors (see below), whose sum is σ = 103500. Its totient is φ = 25536.

The previous prime is 53117. The next prime is 53129. The reversal of 53128 is 82135.

It is a happy number.

53128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 3844 = 222^2 + 62^2 .

It is not an unprimeable number, because it can be changed into a prime (53129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118 + ... + 346.

2⁵³¹²⁸ is an apocalyptic number.

53128 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

53128 is a deficient number, since it is larger than the sum of its proper divisors (50372).

53128 is a wasteful number, since it uses less digits than its factorization.

53128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 53128 is about 230.4951192542. The cubic root of 53128 is about 37.5930725128.

It can be divided in two parts, 53 and 128, that added together give a palindrome (181).

The spelling of 53128 in words is "fifty-three thousand, one hundred twenty-eight".