428805 has 24 divisors (see below), whose sum is σ = 801528. Its totient is φ = 210816.

The previous prime is 428801. The next prime is 428807. The reversal of 428805 is 508824.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 349281 = 282^2 + 591^2 .

It is not a de Polignac number, because 428805 - 2² = 428801 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219 + ... + 951.

It is an arithmetic number, because the mean of its divisors is an integer number (33397).

2⁴²⁸⁸⁰⁵ is an apocalyptic number.

428805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428805 is a deficient number, since it is larger than the sum of its proper divisors (372723).

428805 is a wasteful number, since it uses less digits than its factorization.

428805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 428805 is about 654.8320395338. The cubic root of 428805 is about 75.4084383373.

The spelling of 428805 in words is "four hundred twenty-eight thousand, eight hundred five".