428064 has 96 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 112896.

The previous prime is 428047. The next prime is 428083. The reversal of 428064 is 460824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

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 428064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32922 + ... + 32934.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2⁴²⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

428064 is an abundant number, since it is smaller than the sum of its proper divisors (983136).

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

428064 is a wasteful number, since it uses less digits than its factorization.

428064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 428064 is about 654.2660009507. The cubic root of 428064 is about 75.3649765692.

Adding to 428064 its reverse (460824), we get a palindrome (888888).

The spelling of 428064 in words is "four hundred twenty-eight thousand, sixty-four".