438528 has 36 divisors (see below), whose sum is σ = 1169168. Its totient is φ = 145920.

The previous prime is 438527. The next prime is 438533. The reversal of 438528 is 825834.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 438495 and 438504.

It is not an unprimeable number, because it can be changed into a prime (438521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 483 + ... + 1053.

2⁴³⁸⁵²⁸ is an apocalyptic number.

438528 is a gapful number since it is divisible by the number (48) 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 438528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584584).

438528 is an abundant number, since it is smaller than the sum of its proper divisors (730640).

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

438528 is an equidigital number, since it uses as much as digits as its factorization.

438528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 438528 is about 662.2144667704. The cubic root of 438528 is about 75.9741370909.

The spelling of 438528 in words is "four hundred thirty-eight thousand, five hundred twenty-eight".