219809128 has 64 divisors (see below), whose sum is σ = 519073920. Its totient is φ = 84768000.

The previous prime is 219809123. The next prime is 219809147. The reversal of 219809128 is 821908912.

It is not an unprimeable number, because it can be changed into a prime (219809123) 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, 60450 + ... + 63982.

It is an arithmetic number, because the mean of its divisors is an integer number (8110530).

Almost surely, 2^219809128 is an apocalyptic number.

219809128 is a gapful number since it is divisible by the number (28) 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 219809128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259536960).

219809128 is an abundant number, since it is smaller than the sum of its proper divisors (299264792).

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

219809128 is a wasteful number, since it uses less digits than its factorization.

219809128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 219809128 is about 14825.9612841799. The cubic root of 219809128 is about 603.5064385991.

The spelling of 219809128 in words is "two hundred nineteen million, eight hundred nine thousand, one hundred twenty-eight".