9728087040 has 528 divisors, whose sum is σ = 39985475712. Its totient is φ = 2221572096.

The previous prime is 9728087003. The next prime is 9728087053. The reversal of 9728087040 is 407808279.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708562 + ... + 8709678.

Almost surely, 2^9728087040 is an apocalyptic number.

9728087040 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 9728087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992737856).

9728087040 is an abundant number, since it is smaller than the sum of its proper divisors (30257388672).

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

9728087040 is a wasteful number, since it uses less digits than its factorization.

9728087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 9728087040 is about 98631.0652887821. The cubic root of 9728087040 is about 2134.7276856713.

The spelling of 9728087040 in words is "nine billion, seven hundred twenty-eight million, eighty-seven thousand, forty".