187328320 has 56 divisors (see below), whose sum is σ = 449436744. Its totient is φ = 74366976.

The previous prime is 187328311. The next prime is 187328329. The reversal of 187328320 is 23823781.

It is an interprime number because it is at equal distance from previous prime (187328311) and next prime (187328329).

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 176145984 = 3344^2 + 13272^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187328329) 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, 41704 + ... + 45976.

Almost surely, 2^187328320 is an apocalyptic number.

187328320 is a gapful number since it is divisible by the number (10) 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 187328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224718372).

187328320 is an abundant number, since it is smaller than the sum of its proper divisors (262108424).

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

187328320 is a wasteful number, since it uses less digits than its factorization.

187328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 187328320 is about 13686.7936347415. The cubic root of 187328320 is about 572.1823794520.

The spelling of 187328320 in words is "one hundred eighty-seven million, three hundred twenty-eight thousand, three hundred twenty".