8189663328 has 864 divisors, whose sum is σ = 32690165760. Its totient is φ = 1950220800.

The previous prime is 8189663303. The next prime is 8189663333. The reversal of 8189663328 is 8233669818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264182673 + ... + 264182703.

It is an arithmetic number, because the mean of its divisors is an integer number (37835840).

Almost surely, 2^8189663328 is an apocalyptic number.

8189663328 is a gapful number since it is divisible by the number (88) 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 8189663328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345082880).

8189663328 is an abundant number, since it is smaller than the sum of its proper divisors (24500502432).

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

8189663328 is a wasteful number, since it uses less digits than its factorization.

8189663328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 8189663328 is about 90496.7586601863. The cubic root of 8189663328 is about 2015.6819934907.

The spelling of 8189663328 in words is "eight billion, one hundred eighty-nine million, six hundred sixty-three thousand, three hundred twenty-eight".