428385 has 8 divisors (see below), whose sum is σ = 685440. Its totient is φ = 228464.

The previous prime is 428369. The next prime is 428401. The reversal of 428385 is 583824.

It is an interprime number because it is at equal distance from previous prime (428369) and next prime (428401).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428385 - 2⁴ = 428369 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428385.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14265 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

2⁴²⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

428385 is a deficient number, since it is larger than the sum of its proper divisors (257055).

428385 is a wasteful number, since it uses less digits than its factorization.

428385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28567.

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

The square root of 428385 is about 654.5112680466. The cubic root of 428385 is about 75.3838102895.

The spelling of 428385 in words is "four hundred twenty-eight thousand, three hundred eighty-five".