428220 has 96 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 103680.

The previous prime is 428177. The next prime is 428221. The reversal of 428220 is 22824.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 428193 and 428202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428221) by changing a digit.

428220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6990 + ... + 7050.

It is an arithmetic number, because the mean of its divisors is an integer number (15190).

2⁴²⁸²²⁰ 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 428220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

428220 is an abundant number, since it is smaller than the sum of its proper divisors (1030020).

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

428220 is a wasteful number, since it uses less digits than its factorization.

428220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 428220 is about 654.3852076568. The cubic root of 428220 is about 75.3741305808.

It can be divided in two parts, 4 and 28220, that added together give a square (28224 = 168²).

The spelling of 428220 in words is "four hundred twenty-eight thousand, two hundred twenty".