9281829216 has 288 divisors, whose sum is σ = 28501901568. Its totient is φ = 2617922560.

The previous prime is 9281829197. The next prime is 9281829229. The reversal of 9281829216 is 6129281829.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53652106 + ... + 53652278.

It is an arithmetic number, because the mean of its divisors is an integer number (98964936).

Almost surely, 2^9281829216 is an apocalyptic number.

9281829216 is a gapful number since it is divisible by the number (96) 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 9281829216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250950784).

9281829216 is an abundant number, since it is smaller than the sum of its proper divisors (19220072352).

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

9281829216 is a wasteful number, since it uses less digits than its factorization.

9281829216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 259 counting only the distinct ones).

The product of its digits is 248832, while the sum is 48.

The square root of 9281829216 is about 96342.2504200519. The cubic root of 9281829216 is about 2101.5732138771.

The spelling of 9281829216 in words is "nine billion, two hundred eighty-one million, eight hundred twenty-nine thousand, two hundred sixteen".