9807049728 has 660 divisors, whose sum is σ = 36142487040. Its totient is φ = 2633637888.

The previous prime is 9807049723. The next prime is 9807049753. The reversal of 9807049728 is 8279407089.

9807049728 is a `hidden beast` number, since 9 + 80 + 70 + 497 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9807049723) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 77220801 + ... + 77220927.

It is an arithmetic number, because the mean of its divisors is an integer number (54761344).

Almost surely, 2^9807049728 is an apocalyptic number.

9807049728 is a gapful number since it is divisible by the number (98) 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 9807049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071243520).

9807049728 is an abundant number, since it is smaller than the sum of its proper divisors (26335437312).

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

9807049728 is a wasteful number, since it uses less digits than its factorization.

9807049728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9807049728 is about 99030.5494683333. The cubic root of 9807049728 is about 2140.4879755985.

The spelling of 9807049728 in words is "nine billion, eight hundred seven million, forty-nine thousand, seven hundred twenty-eight".