428428 has 48 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 152640.

The previous prime is 428411. The next prime is 428429. The reversal of 428428 is 824824.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 428396 and 428405.

It is not an unprimeable number, because it can be changed into a prime (428429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3951 + ... + 4057.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁴²⁸⁴²⁸ 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 428428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

428428 is an abundant number, since it is smaller than the sum of its proper divisors (587636).

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

428428 is a wasteful number, since it uses less digits than its factorization.

428428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 140 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 428428 is about 654.5441161602. The cubic root of 428428 is about 75.3863324719.

The spelling of 428428 in words is "four hundred twenty-eight thousand, four hundred twenty-eight".