51128 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 19680.

The previous prime is 51109. The next prime is 51131. The reversal of 51128 is 82115.

It is a super-2 number, since 2×51128² = 5228144768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 575 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵¹¹²⁸ 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 51128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

51128 is an abundant number, since it is smaller than the sum of its proper divisors (69832).

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

51128 is a wasteful number, since it uses less digits than its factorization.

51128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 103 counting only the distinct ones).

The product of its digits is 80, while the sum is 17.

The square root of 51128 is about 226.1150149813. The cubic root of 51128 is about 37.1152965454.

The spelling of 51128 in words is "fifty-one thousand, one hundred twenty-eight".