528444 has 60 divisors (see below), whose sum is σ = 1585584. Its totient is φ = 150336.

The previous prime is 528433. The next prime is 528469. The reversal of 528444 is 444825.

It is a super-2 number, since 2×528444² = 558506122272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5120) is a multiple of the sum of its prime factors (256).

It is a nialpdrome in base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2152 + ... + 2384.

2⁵²⁸⁴⁴⁴ is an apocalyptic number.

528444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792792).

528444 is an abundant number, since it is smaller than the sum of its proper divisors (1057140).

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

528444 is a wasteful number, since it uses less digits than its factorization.

528444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 528444 is about 726.9415382271. The cubic root of 528444 is about 80.8474495015.

It can be divided in two parts, 528 and 444, that multiplied together give a palindrome (234432).

The spelling of 528444 in words is "five hundred twenty-eight thousand, four hundred forty-four".