428112 has 40 divisors (see below), whose sum is σ = 1230080. Its totient is φ = 142560.

The previous prime is 428093. The next prime is 428137. The reversal of 428112 is 211824.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (30752).

2⁴²⁸¹¹² 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 428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615040).

428112 is an abundant number, since it is smaller than the sum of its proper divisors (801968).

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

428112 is a wasteful number, since it uses less digits than its factorization.

428112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 996 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 428112 is about 654.3026822503. The cubic root of 428112 is about 75.3677934250.

Adding to 428112 its reverse (211824), we get a palindrome (639936).

The spelling of 428112 in words is "four hundred twenty-eight thousand, one hundred twelve".