2284128 has 144 divisors (see below), whose sum is σ = 8176896. Its totient is φ = 587520.

The previous prime is 2284109. The next prime is 2284133. The reversal of 2284128 is 8214822.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22125 + ... + 22227.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

2^2284128 is an apocalyptic number.

2284128 is a gapful number since it is divisible by the number (28) 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 2284128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088448).

2284128 is an abundant number, since it is smaller than the sum of its proper divisors (5892768).

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

2284128 is a wasteful number, since it uses less digits than its factorization.

2284128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

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

The square root of 2284128 is about 1511.3331862961. Note that the first 3 decimals coincide. The cubic root of 2284128 is about 131.6962713611.

It can be divided in two parts, 228 and 4128, that added together give a square (4356 = 66²).

The spelling of 2284128 in words is "two million, two hundred eighty-four thousand, one hundred twenty-eight".