9242944128 has 576 divisors, whose sum is σ = 32330491200. Its totient is φ = 2592691200.

The previous prime is 9242944121. The next prime is 9242944153. The reversal of 9242944128 is 8214492429.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9242944121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 298159473 + ... + 298159503.

It is an arithmetic number, because the mean of its divisors is an integer number (56129325).

Almost surely, 2^9242944128 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 9242944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16165245600).

9242944128 is an abundant number, since it is smaller than the sum of its proper divisors (23087547072).

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

9242944128 is a wasteful number, since it uses less digits than its factorization.

9242944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 70 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 9242944128 is about 96140.2315786685. The cubic root of 9242944128 is about 2098.6343447435.

The spelling of 9242944128 in words is "nine billion, two hundred forty-two million, nine hundred forty-four thousand, one hundred twenty-eight".