219328008 has 64 divisors (see below), whose sum is σ = 565512960. Its totient is φ = 70834176.

The previous prime is 219327973. The next prime is 219328009. The reversal of 219328008 is 800823912.

It is a self number, because there is not a number n which added to its sum of digits gives 219328008.

It is not an unprimeable number, because it can be changed into a prime (219328009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325560 + ... + 326232.

It is an arithmetic number, because the mean of its divisors is an integer number (8836140).

Almost surely, 2^219328008 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 219328008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282756480).

219328008 is an abundant number, since it is smaller than the sum of its proper divisors (346184952).

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

219328008 is a wasteful number, since it uses less digits than its factorization.

219328008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 219328008 is about 14809.7268036922. The cubic root of 219328008 is about 603.0657970220.

The spelling of 219328008 in words is "two hundred nineteen million, three hundred twenty-eight thousand, eight".