188836128 has 144 divisors (see below), whose sum is σ = 597332736. Its totient is φ = 56194560.

The previous prime is 188836111. The next prime is 188836129. The reversal of 188836128 is 821638881.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (188836129) 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, 115251 + ... + 116877.

It is an arithmetic number, because the mean of its divisors is an integer number (4148144).

Almost surely, 2^188836128 is an apocalyptic number.

188836128 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 188836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298666368).

188836128 is an abundant number, since it is smaller than the sum of its proper divisors (408496608).

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

188836128 is a wasteful number, since it uses less digits than its factorization.

188836128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1676 counting only the distinct ones).

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

The square root of 188836128 is about 13741.7658253952. The cubic root of 188836128 is about 573.7134466296.

The spelling of 188836128 in words is "one hundred eighty-eight million, eight hundred thirty-six thousand, one hundred twenty-eight".