9784029216 has 144 divisors (see below), whose sum is σ = 27928587456. Its totient is φ = 2997715968.

The previous prime is 9784029191. The next prime is 9784029223. The reversal of 9784029216 is 6129204879.

It is a Smith number, since the sum of its digits (48) 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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4265766 + ... + 4268058.

It is an arithmetic number, because the mean of its divisors is an integer number (193948524).

Almost surely, 2^9784029216 is an apocalyptic number.

9784029216 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 9784029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964293728).

9784029216 is an abundant number, since it is smaller than the sum of its proper divisors (18144558240).

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

9784029216 is a wasteful number, since it uses less digits than its factorization.

9784029216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 9784029216 is about 98914.2518346067. The cubic root of 9784029216 is about 2138.8118434259.

The spelling of 9784029216 in words is "nine billion, seven hundred eighty-four million, twenty-nine thousand, two hundred sixteen".