187381728 has 48 divisors (see below), whose sum is σ = 546532560. Its totient is φ = 62460288.

The previous prime is 187381723. The next prime is 187381741. The reversal of 187381728 is 827183781.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×187381728² = 70223823976531968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187381721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107575 + ... + 109302.

It is an arithmetic number, because the mean of its divisors is an integer number (11386095).

Almost surely, 2^187381728 is an apocalyptic number.

187381728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

187381728 is an abundant number, since it is smaller than the sum of its proper divisors (359150832).

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

187381728 is a wasteful number, since it uses less digits than its factorization.

187381728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216896 (or 216882 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The square root of 187381728 is about 13688.7445735539. The cubic root of 187381728 is about 572.2367513925.

The spelling of 187381728 in words is "one hundred eighty-seven million, three hundred eighty-one thousand, seven hundred twenty-eight".