511128 has 48 divisors (see below), whose sum is σ = 1435200. Its totient is φ = 164160.

The previous prime is 511123. The next prime is 511151. The reversal of 511128 is 821115.

It is a super-2 number, since 2×511128² = 522503664768, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 511128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2118 + ... + 2346.

It is an arithmetic number, because the mean of its divisors is an integer number (29900).

2⁵¹¹¹²⁸ 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 511128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717600).

511128 is an abundant number, since it is smaller than the sum of its proper divisors (924072).

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

511128 is a wasteful number, since it uses less digits than its factorization.

511128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 511128 is about 714.9321646142. The cubic root of 511128 is about 79.9545575255.

The spelling of 511128 in words is "five hundred eleven thousand, one hundred twenty-eight".