8192947392 has 448 divisors, whose sum is σ = 29358336000. Its totient is φ = 2235340800.

The previous prime is 8192947387. The next prime is 8192947447. The reversal of 8192947392 is 2937492918.

8192947392 is a `hidden beast` number, since 81 + 9 + 2 + 9 + 473 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13631892 + ... + 13632492.

It is an arithmetic number, because the mean of its divisors is an integer number (65532000).

Almost surely, 2^8192947392 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 8192947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14679168000).

8192947392 is an abundant number, since it is smaller than the sum of its proper divisors (21165388608).

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

8192947392 is a wasteful number, since it uses less digits than its factorization.

8192947392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 636 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 8192947392 is about 90514.9014914119. The cubic root of 8192947392 is about 2015.9513877167.

The spelling of 8192947392 in words is "eight billion, one hundred ninety-two million, nine hundred forty-seven thousand, three hundred ninety-two".