9445009728 has 224 divisors, whose sum is σ = 31272772608. Its totient is φ = 2444083200.

The previous prime is 9445009699. The next prime is 9445009757. The reversal of 9445009728 is 8279005449.

It is an interprime number because it is at equal distance from previous prime (9445009699) and next prime (9445009757).

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 4537648 + ... + 4539728.

It is an arithmetic number, because the mean of its divisors is an integer number (139610592).

Almost surely, 2^9445009728 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 9445009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15636386304).

9445009728 is an abundant number, since it is smaller than the sum of its proper divisors (21827762880).

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

9445009728 is a wasteful number, since it uses less digits than its factorization.

9445009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 9445009728 is about 97185.4398971369. The cubic root of 9445009728 is about 2113.8174066063.

The spelling of 9445009728 in words is "nine billion, four hundred forty-five million, nine thousand, seven hundred twenty-eight".