428384 has 24 divisors (see below), whose sum is σ = 920808. Its totient is φ = 194560.

The previous prime is 428369. The next prime is 428401. The reversal of 428384 is 483824.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428384.

It is an unprimeable number.

428384 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 257 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2⁴²⁸³⁸⁴ is an apocalyptic number.

428384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

428384 is an abundant number, since it is smaller than the sum of its proper divisors (492424).

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

428384 is a wasteful number, since it uses less digits than its factorization.

428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 428384 is about 654.5105041174. The cubic root of 428384 is about 75.3837516320.

The spelling of 428384 in words is "four hundred twenty-eight thousand, three hundred eighty-four".