428808 has 32 divisors (see below), whose sum is σ = 1136160. Its totient is φ = 134400.

The previous prime is 428807. The next prime is 428809. The reversal of 428808 is 808824.

428808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (428807) and next prime (428809).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (428801) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 118 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (35505).

2⁴²⁸⁸⁰⁸ 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 428808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568080).

428808 is an abundant number, since it is smaller than the sum of its proper divisors (707352).

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

428808 is a wasteful number, since it uses less digits than its factorization.

428808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 428808 is about 654.8343301935. The cubic root of 428808 is about 75.4086141941.

The spelling of 428808 in words is "four hundred twenty-eight thousand, eight hundred eight".