219791328 has 48 divisors (see below), whose sum is σ = 582086736. Its totient is φ = 72611840.

The previous prime is 219791323. The next prime is 219791329. The reversal of 219791328 is 823197912.

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

It is a self number, because there is not a number n which added to its sum of digits gives 219791328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219791323) 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, 718 + ... + 20978.

It is an arithmetic number, because the mean of its divisors is an integer number (12126807).

Almost surely, 2^219791328 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 219791328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291043368).

219791328 is an abundant number, since it is smaller than the sum of its proper divisors (362295408).

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

219791328 is a wasteful number, since it uses less digits than its factorization.

219791328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20387 (or 20379 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 219791328 is about 14825.3609736829. The cubic root of 219791328 is about 603.4901476399.

The spelling of 219791328 in words is "two hundred nineteen million, seven hundred ninety-one thousand, three hundred twenty-eight".