9143785728 has 648 divisors, whose sum is σ = 34532971200. Its totient is φ = 2299207680.

The previous prime is 9143785711. The next prime is 9143785829. The reversal of 9143785728 is 8275873419.

It is a happy number.

It is a super-3 number, since 3×9143785728³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45948573 + ... + 45948771.

Almost surely, 2^9143785728 is an apocalyptic number.

9143785728 is a gapful number since it is divisible by the number (98) 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 9143785728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17266485600).

9143785728 is an abundant number, since it is smaller than the sum of its proper divisors (25389185472).

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

9143785728 is a wasteful number, since it uses less digits than its factorization.

9143785728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 9143785728 is about 95623.1443114061. The cubic root of 9143785728 is about 2091.1026230881.

The spelling of 9143785728 in words is "nine billion, one hundred forty-three million, seven hundred eighty-five thousand, seven hundred twenty-eight".