628224 has 40 divisors (see below), whose sum is σ = 1677720. Its totient is φ = 208896.

The previous prime is 628219. The next prime is 628231. The reversal of 628224 is 422826.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a d-powerful number, because it can be written as 6⁷ + 2⁷ + 2¹⁶ + 8⁴ + 2¹⁸ + 4⁷ .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 628194 and 628203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1332 + ... + 1740.

It is an arithmetic number, because the mean of its divisors is an integer number (41943).

2⁶²⁸²²⁴ is an apocalyptic number.

628224 is a gapful number since it is divisible by the number (64) 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 628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838860).

628224 is an abundant number, since it is smaller than the sum of its proper divisors (1049496).

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

628224 is an equidigital number, since it uses as much as digits as its factorization.

628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 628224 is about 792.6058288961. The cubic root of 628224 is about 85.6455576050.

It can be divided in two parts, 62822 and 4, that added together give a palindrome (62826).

The spelling of 628224 in words is "six hundred twenty-eight thousand, two hundred twenty-four".