9005743728 has 160 divisors (see below), whose sum is σ = 27313529600. Its totient is φ = 2833138944.

The previous prime is 9005743699. The next prime is 9005743757. The reversal of 9005743728 is 8273475009.

9005743728 is a `hidden beast` number, since 9 + 0 + 0 + 574 + 3 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9005743699) and next prime (9005743757).

It is a super-2 number, since 2×9005743728² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320926 + ... + 2324802.

It is an arithmetic number, because the mean of its divisors is an integer number (170709560).

Almost surely, 2^9005743728 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 9005743728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656764800).

9005743728 is an abundant number, since it is smaller than the sum of its proper divisors (18307785872).

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

9005743728 is a wasteful number, since it uses less digits than its factorization.

9005743728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 9005743728 is about 94898.5970813057. The cubic root of 9005743728 is about 2080.5262265709.

The spelling of 9005743728 in words is "nine billion, five million, seven hundred forty-three thousand, seven hundred twenty-eight".