1828224 has 96 divisors (see below), whose sum is σ = 5640600. Its totient is φ = 582912.

The previous prime is 1828223. The next prime is 1828243. The reversal of 1828224 is 4228281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79477 + ... + 79499.

2^1828224 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 1828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820300).

1828224 is an abundant number, since it is smaller than the sum of its proper divisors (3812376).

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

1828224 is an equidigital number, since it uses as much as digits as its factorization.

1828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 28 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1828224 is about 1352.1183380163. The cubic root of 1828224 is about 122.2765383313.

The spelling of 1828224 in words is "one million, eight hundred twenty-eight thousand, two hundred twenty-four".