428825 has 12 divisors (see below), whose sum is σ = 563580. Its totient is φ = 322560.

The previous prime is 428809. The next prime is 428833. The reversal of 428825 is 528824.

It can be written as a sum of positive squares in 6 ways, for example, as 3721 + 425104 = 61^2 + 652^2 .

It is not a de Polignac number, because 428825 - 2⁴ = 428809 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428825.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (46965).

2⁴²⁸⁸²⁵ is an apocalyptic number.

It is an amenable number.

428825 is a deficient number, since it is larger than the sum of its proper divisors (134755).

428825 is a wasteful number, since it uses less digits than its factorization.

428825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1031 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 428825 is about 654.8473104473. The cubic root of 428825 is about 75.4096107003.

Subtracting 428825 from its reverse (528824), we obtain a palindrome (99999).

The spelling of 428825 in words is "four hundred twenty-eight thousand, eight hundred twenty-five".