428420 has 24 divisors (see below), whose sum is σ = 930048. Its totient is φ = 165600.

The previous prime is 428411. The next prime is 428429. The reversal of 428420 is 24824.

It is an interprime number because it is at equal distance from previous prime (428411) and next prime (428429).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 428392 and 428401.

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

428420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 275 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (38752).

2⁴²⁸⁴²⁰ 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 428420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465024).

428420 is an abundant number, since it is smaller than the sum of its proper divisors (501628).

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

428420 is a wasteful number, since it uses less digits than its factorization.

428420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 428420 is about 654.5380050081. The cubic root of 428420 is about 75.3858632414.

It can be divided in two parts, 428 and 420, that added together give a palindrome (848).

The spelling of 428420 in words is "four hundred twenty-eight thousand, four hundred twenty".