9428985389376 has 448 divisors, whose sum is σ = 31802861260800. Its totient is φ = 2683520243712.

The previous prime is 9428985389321. The next prime is 9428985389389. The reversal of 9428985389376 is 6739835898249.

9428985389376 is a `hidden beast` number, since 9 + 4 + 2 + 8 + 9 + 8 + 538 + 9 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 9428985389295 and 9428985389304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4155567570 + ... + 4155569838.

It is an arithmetic number, because the mean of its divisors is an integer number (70988529600).

Almost surely, 2^{9428985389376} is an apocalyptic number.

9428985389376 is a gapful number since it is divisible by the number (96) 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 9428985389376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901430630400).

9428985389376 is an abundant number, since it is smaller than the sum of its proper divisors (22373875871424).

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

9428985389376 is a wasteful number, since it uses less digits than its factorization.

9428985389376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3467 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 9428985389376 in words is "nine trillion, four hundred twenty-eight billion, nine hundred eighty-five million, three hundred eighty-nine thousand, three hundred seventy-six".