8192233728000 has 1344 divisors, whose sum is σ = 35034401525760. Its totient is φ = 1872211968000.

The previous prime is 8192233727989. The next prime is 8192233728031. The reversal of 8192233728000 is 8273322918.

8192233728000 is a `hidden beast` number, since 8 + 19 + 22 + 337 + 280 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×8192233728000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1306364865 + ... + 1306371135.

It is an arithmetic number, because the mean of its divisors is an integer number (26067263040).

Almost surely, 2^{8192233728000} is an apocalyptic number.

8192233728000 is a gapful number since it is divisible by the number (80) 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 8192233728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17517200762880).

8192233728000 is an abundant number, since it is smaller than the sum of its proper divisors (26842167797760).

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

8192233728000 is an frugal number, since it uses more digits than its factorization.

8192233728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333 (or 6288 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 8192233728000 in words is "eight trillion, one hundred ninety-two billion, two hundred thirty-three million, seven hundred twenty-eight thousand".