428664 has 32 divisors (see below), whose sum is σ = 1095120. Its totient is φ = 139776.

The previous prime is 428663. The next prime is 428671. The reversal of 428664 is 466824.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104 + ... + 1440.

2⁴²⁸⁶⁶⁴ 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 428664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560).

428664 is an abundant number, since it is smaller than the sum of its proper divisors (666456).

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

428664 is a wasteful number, since it uses less digits than its factorization.

428664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 428664 is about 654.7243694869. The cubic root of 428664 is about 75.4001721437.

The spelling of 428664 in words is "four hundred twenty-eight thousand, six hundred sixty-four".