2188128 has 48 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 696960.

The previous prime is 2188127. The next prime is 2188157. The reversal of 2188128 is 8218812.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2188095 and 2188104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1713 + ... + 2703.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

2^2188128 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 2188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2188128 is an abundant number, since it is smaller than the sum of its proper divisors (3811488).

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

2188128 is a wasteful number, since it uses less digits than its factorization.

2188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its digits is 2048, while the sum is 30.

The square root of 2188128 is about 1479.2322332886. The cubic root of 2188128 is about 129.8247737817.

The spelling of 2188128 in words is "two million, one hundred eighty-eight thousand, one hundred twenty-eight".