9772938620928 has 832 divisors, whose sum is σ = 34122578918400. Its totient is φ = 2706018140160.

The previous prime is 9772938620923. The next prime is 9772938620933. The reversal of 9772938620928 is 8290268392779.

9772938620928 is a `hidden beast` number, since 97 + 72 + 9 + 386 + 2 + 0 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9772938620923) and next prime (9772938620933).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9772938620923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5173603408 + ... + 5173605296.

Almost surely, 2^{9772938620928} 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 9772938620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061289459200).

9772938620928 is an abundant number, since it is smaller than the sum of its proper divisors (24349640297472).

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

9772938620928 is a wasteful number, since it uses less digits than its factorization.

9772938620928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 9772938620928 in words is "nine trillion, seven hundred seventy-two billion, nine hundred thirty-eight million, six hundred twenty thousand, nine hundred twenty-eight".