186481728 has 84 divisors (see below), whose sum is σ = 536984448. Its totient is φ = 61873920.

The previous prime is 186481727. The next prime is 186481733. The reversal of 186481728 is 827184681.

It is not an unprimeable number, because it can be changed into a prime (186481727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150873 + ... + 152103.

It is an arithmetic number, because the mean of its divisors is an integer number (6392672).

Almost surely, 2^186481728 is an apocalyptic number.

186481728 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 186481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268492224).

186481728 is an abundant number, since it is smaller than the sum of its proper divisors (350502720).

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

186481728 is a wasteful number, since it uses less digits than its factorization.

186481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1499 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 186481728 is about 13655.8312819103. The cubic root of 186481728 is about 571.3191239909.

The spelling of 186481728 in words is "one hundred eighty-six million, four hundred eighty-one thousand, seven hundred twenty-eight".