428538 has 32 divisors (see below), whose sum is σ = 963072. Its totient is φ = 126000.

The previous prime is 428531. The next prime is 428539. The reversal of 428538 is 835824.

It is a super-3 number, since 3×428538³ = 236096348333450616, which contains 333 as substring.

It is a d-powerful number, because it can be written as 4⁴ + 2¹⁵ + 5⁸ + 8² + 3⁶ + 8⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428531) by changing a digit.

428538 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 2763 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (30096).

2⁴²⁸⁵³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481536).

428538 is an abundant number, since it is smaller than the sum of its proper divisors (534534).

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

428538 is a wasteful number, since it uses less digits than its factorization.

428538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

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

The square root of 428538 is about 654.6281387169. The cubic root of 428538 is about 75.3927837986.

The spelling of 428538 in words is "four hundred twenty-eight thousand, five hundred thirty-eight".