428985 has 12 divisors (see below), whose sum is σ = 743652. Its totient is φ = 228768.

The previous prime is 428977. The next prime is 429007. The reversal of 428985 is 589824.

It can be written as a sum of positive squares in 2 ways, for example, as 110889 + 318096 = 333^2 + 564^2 .

It is not a de Polignac number, because 428985 - 2³ = 428977 is a prime.

It is a super-3 number, since 3×428985³ = 236835922333714875, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428985.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 4722 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (61971).

2⁴²⁸⁹⁸⁵ is an apocalyptic number.

428985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428985 is a deficient number, since it is larger than the sum of its proper divisors (314667).

428985 is a wasteful number, since it uses less digits than its factorization.

428985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9544 (or 9541 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 428985 is about 654.9694649371. The cubic root of 428985 is about 75.4189882921.

The spelling of 428985 in words is "four hundred twenty-eight thousand, nine hundred eighty-five".