188671728 has 80 divisors (see below), whose sum is σ = 560321280. Its totient is φ = 53587968.

The previous prime is 188671687. The next prime is 188671751. The reversal of 188671728 is 827176881.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58576 + ... + 61712.

It is an arithmetic number, because the mean of its divisors is an integer number (7004016).

Almost surely, 2^188671728 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 188671728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280160640).

188671728 is an abundant number, since it is smaller than the sum of its proper divisors (371649552).

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

188671728 is a wasteful number, since it uses less digits than its factorization.

188671728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3328 counting only the distinct ones).

The product of its digits is 301056, while the sum is 48.

The square root of 188671728 is about 13735.7827589111. The cubic root of 188671728 is about 573.5469073909.

The spelling of 188671728 in words is "one hundred eighty-eight million, six hundred seventy-one thousand, seven hundred twenty-eight".