512028 has 48 divisors (see below), whose sum is σ = 1451520. Its totient is φ = 154800.

The previous prime is 512021. The next prime is 512047. The reversal of 512028 is 820215.

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 512028.

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 512028.

It is not an unprimeable number, because it can be changed into a prime (512021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973 + ... + 1403.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁵¹²⁰²⁸ 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 512028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760).

512028 is an abundant number, since it is smaller than the sum of its proper divisors (939492).

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

512028 is a wasteful number, since it uses less digits than its factorization.

512028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 512028 is about 715.5613181272. The cubic root of 512028 is about 80.0014583067.

The spelling of 512028 in words is "five hundred twelve thousand, twenty-eight".