2208128 has 32 divisors (see below), whose sum is σ = 4740960. Its totient is φ = 1018368.

The previous prime is 2208127. The next prime is 2208131. The reversal of 2208128 is 8218022.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1001 + ... + 2327.

It is an arithmetic number, because the mean of its divisors is an integer number (148155).

2^2208128 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 2208128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370480).

2208128 is an abundant number, since it is smaller than the sum of its proper divisors (2532832).

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

2208128 is a wasteful number, since it uses less digits than its factorization.

2208128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2208128 is about 1485.9771196085. The cubic root of 2208128 is about 130.2191176447.

Adding to 2208128 its sum of digits (23), we get a triangular number (2208151 = T₂₁₀₁).

The spelling of 2208128 in words is "two million, two hundred eight thousand, one hundred twenty-eight".