428364 has 36 divisors (see below), whose sum is σ = 1104376. Its totient is φ = 139968.

The previous prime is 428353. The next prime is 428369. The reversal of 428364 is 463824.

428364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 428364.

It is not an unprimeable number, because it can be changed into a prime (428369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2547 + ... + 2709.

2⁴²⁸³⁶⁴ 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 428364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552188).

428364 is an abundant number, since it is smaller than the sum of its proper divisors (676012).

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

428364 is a wasteful number, since it uses less digits than its factorization.

428364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 241 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 428364 is about 654.4952253455. The cubic root of 428364 is about 75.3825784646.

The spelling of 428364 in words is "four hundred twenty-eight thousand, three hundred sixty-four".