219068928 has 320 divisors, whose sum is σ = 742452480. Its totient is φ = 63258624.

The previous prime is 219068921. The next prime is 219068939. The reversal of 219068928 is 829860912.

It is not an unprimeable number, because it can be changed into a prime (219068921) 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 31 ways as a sum of consecutive naturals, for example, 4133350 + ... + 4133402.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^219068928 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 219068928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

219068928 is an abundant number, since it is smaller than the sum of its proper divisors (523383552).

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

219068928 is a wasteful number, since it uses less digits than its factorization.

219068928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 219068928 is about 14800.9772650322. The cubic root of 219068928 is about 602.8282474136.

The spelling of 219068928 in words is "two hundred nineteen million, sixty-eight thousand, nine hundred twenty-eight".