521028 has 36 divisors (see below), whose sum is σ = 1352988. Its totient is φ = 168960.

The previous prime is 521023. The next prime is 521039. The reversal of 521028 is 820125.

521028 is digitally balanced in base 3, 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 101124 + 419904 = 318^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 521028.

It is not an unprimeable number, because it can be changed into a prime (521021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300 + ... + 1652.

It is an arithmetic number, because the mean of its divisors is an integer number (37583).

2⁵²¹⁰²⁸ 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 521028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676494).

521028 is an abundant number, since it is smaller than the sum of its proper divisors (831960).

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

521028 is a wasteful number, since it uses less digits than its factorization.

521028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

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

The square root of 521028 is about 721.8226929101. The cubic root of 521028 is about 80.4674713939.

The spelling of 521028 in words is "five hundred twenty-one thousand, twenty-eight".