186128768 has 64 divisors (see below), whose sum is σ = 433720320. Its totient is φ = 77898240.

The previous prime is 186128729. The next prime is 186128773. The reversal of 186128768 is 867821681.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36113 + ... + 40943.

It is an arithmetic number, because the mean of its divisors is an integer number (6776880).

Almost surely, 2^186128768 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 186128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216860160).

186128768 is an abundant number, since it is smaller than the sum of its proper divisors (247591552).

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

186128768 is an equidigital number, since it uses as much as digits as its factorization.

186128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4883 counting only the distinct ones).

The product of its digits is 258048, while the sum is 47.

The square root of 186128768 is about 13642.9017441305. The cubic root of 186128768 is about 570.9584449420.

The spelling of 186128768 in words is "one hundred eighty-six million, one hundred twenty-eight thousand, seven hundred sixty-eight".