191328000 has 144 divisors (see below), whose sum is σ = 635814816. Its totient is φ = 50995200.

The previous prime is 191327977. The next prime is 191328061. The reversal of 191328000 is 823191.

191328000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95004 + ... + 96996.

Almost surely, 2^191328000 is an apocalyptic number.

191328000 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 191328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317907408).

191328000 is an abundant number, since it is smaller than the sum of its proper divisors (444486816).

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

191328000 is an equidigital number, since it uses as much as digits as its factorization.

191328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 191328000 is about 13832.1364944104. The cubic root of 191328000 is about 576.2259915683.

The spelling of 191328000 in words is "one hundred ninety-one million, three hundred twenty-eight thousand".