9892938240 has 720 divisors, whose sum is σ = 38658597120. Its totient is φ = 2418647040.

The previous prime is 9892938203. The next prime is 9892938281. The reversal of 9892938240 is 428392989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 319127025 + ... + 319127055.

It is an arithmetic number, because the mean of its divisors is an integer number (53692496).

Almost surely, 2^9892938240 is an apocalyptic number.

9892938240 is a gapful number since it is divisible by the number (90) 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 9892938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19329298560).

9892938240 is an abundant number, since it is smaller than the sum of its proper divisors (28765658880).

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

9892938240 is an frugal number, since it uses more digits than its factorization.

9892938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9892938240 is about 99463.2507009498. The cubic root of 9892938240 is about 2146.7185015496.

The spelling of 9892938240 in words is "nine billion, eight hundred ninety-two million, nine hundred thirty-eight thousand, two hundred forty".