188368128 has 216 divisors, whose sum is σ = 617533280. Its totient is φ = 54743040.

The previous prime is 188368127. The next prime is 188368133. The reversal of 188368128 is 821863881.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188368127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568923 + ... + 569253.

Almost surely, 2^188368128 is an apocalyptic number.

188368128 is a gapful number since it is divisible by the number (18) 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 188368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308766640).

188368128 is an abundant number, since it is smaller than the sum of its proper divisors (429165152).

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

188368128 is a wasteful number, since it uses less digits than its factorization.

188368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 188368128 is about 13724.7268825285. The cubic root of 188368128 is about 573.2391023549.

The spelling of 188368128 in words is "one hundred eighty-eight million, three hundred sixty-eight thousand, one hundred twenty-eight".