9262981728 has 864 divisors, whose sum is σ = 37477859328. Its totient is φ = 2107607040.

The previous prime is 9262981723. The next prime is 9262981733. The reversal of 9262981728 is 8271892629.

9262981728 is a `hidden beast` number, since 9 + 2 + 629 + 8 + 1 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9262981723) and next prime (9262981733).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9262981723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72936801 + ... + 72936927.

It is an arithmetic number, because the mean of its divisors is an integer number (43377152).

Almost surely, 2^9262981728 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 9262981728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738929664).

9262981728 is an abundant number, since it is smaller than the sum of its proper divisors (28214877600).

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

9262981728 is a wasteful number, since it uses less digits than its factorization.

9262981728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 9262981728 is about 96244.3854362425. The cubic root of 9262981728 is about 2100.1497797931.

The spelling of 9262981728 in words is "nine billion, two hundred sixty-two million, nine hundred eighty-one thousand, seven hundred twenty-eight".