428824 has 24 divisors (see below), whose sum is σ = 885780. Its totient is φ = 194480.

The previous prime is 428809. The next prime is 428833.

428824 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 428792 and 428801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 747 + ... + 1189.

2⁴²⁸⁸²⁴ is an apocalyptic number.

428824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442890).

428824 is an abundant number, since it is smaller than the sum of its proper divisors (456956).

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

428824 is a wasteful number, since it uses less digits than its factorization.

428824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 456 counting only the distinct ones).

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

The square root of 428824 is about 654.8465469100. The cubic root of 428824 is about 75.4095520830.

The spelling of 428824 in words is "four hundred twenty-eight thousand, eight hundred twenty-four".