4188128 has 36 divisors (see below), whose sum is σ = 9595152. Its totient is φ = 1794240.

The previous prime is 4188127. The next prime is 4188133. The reversal of 4188128 is 8218814.

It is a super-2 number, since 2×4188128² = 35080832288768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4188094 and 4188103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 233 + ... + 2903.

It is an arithmetic number, because the mean of its divisors is an integer number (266532).

Almost surely, 2^4188128 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 4188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797576).

4188128 is an abundant number, since it is smaller than the sum of its proper divisors (5407024).

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

4188128 is a wasteful number, since it uses less digits than its factorization.

4188128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its digits is 4096, while the sum is 32.

The square root of 4188128 is about 2046.4916320376. The cubic root of 4188128 is about 161.1907003073.

The spelling of 4188128 in words is "four million, one hundred eighty-eight thousand, one hundred twenty-eight".