188272128 has 120 divisors (see below), whose sum is σ = 551855304. Its totient is φ = 56995840.

The previous prime is 188272099. The next prime is 188272129. The reversal of 188272128 is 821272881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188272129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185350 + ... + 186362.

Almost surely, 2^188272128 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 188272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275927652).

188272128 is an abundant number, since it is smaller than the sum of its proper divisors (363583176).

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

188272128 is a wasteful number, since it uses less digits than its factorization.

188272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1029 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 188272128 is about 13721.2290994648. The cubic root of 188272128 is about 573.1417038800.

The spelling of 188272128 in words is "one hundred eighty-eight million, two hundred seventy-two thousand, one hundred twenty-eight".