9783007728400 has 135 divisors (see below), whose sum is σ = 24808832858613. Its totient is φ = 3706794633600.

The previous prime is 9783007728383. The next prime is 9783007728437. The reversal of 9783007728400 is 48277003879.

The square root of 9783007728400 is 3127780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3521882782224 + 6261124946176 = 1876668^2 + 2502224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1188552285 + ... + 1188560515.

Almost surely, 2^{9783007728400} is an apocalyptic number.

9783007728400 is the 3127780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9783007728400

9783007728400 is an abundant number, since it is smaller than the sum of its proper divisors (15025825130213).

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

9783007728400 is an frugal number, since it uses more digits than its factorization.

9783007728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16518 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 9783007728400 in words is "nine trillion, seven hundred eighty-three billion, seven million, seven hundred twenty-eight thousand, four hundred".