2828224 has 56 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 1180416.

The previous prime is 2828219. The next prime is 2828237. The reversal of 2828224 is 4228282.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 = 2828192 and 2828201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26379 + ... + 26485.

2^2828224 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 2828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2828224 is an abundant number, since it is smaller than the sum of its proper divisors (3755456).

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

2828224 is a wasteful number, since it uses less digits than its factorization.

2828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

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

The square root of 2828224 is about 1681.7324400748. The cubic root of 2828224 is about 141.4179707438.

The spelling of 2828224 in words is "two million, eight hundred twenty-eight thousand, two hundred twenty-four".