219330828 has 144 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 68040000.

The previous prime is 219330827. The next prime is 219330833. The reversal of 219330828 is 828033912.

It is a happy number.

It is a super-2 number, since 2×219330828² = 96212024222331168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 219330792 and 219330801.

It is not an unprimeable number, because it can be changed into a prime (219330823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873703 + ... + 873953.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^219330828 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 219330828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

219330828 is an abundant number, since it is smaller than the sum of its proper divisors (397081332).

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

219330828 is a wasteful number, since it uses less digits than its factorization.

219330828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 219330828 is about 14809.8220110844. The cubic root of 219330828 is about 603.0683816414.

The spelling of 219330828 in words is "two hundred nineteen million, three hundred thirty thousand, eight hundred twenty-eight".