10928646144 has 384 divisors, whose sum is σ = 36434361600. Its totient is φ = 3211591680.

The previous prime is 10928646137. The next prime is 10928646151. The reversal of 10928646144 is 44164682901.

10928646144 is a `hidden beast` number, since 1 + 0 + 9 + 28 + 6 + 4 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10928646137) and next prime (10928646151).

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 10928646144.

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 31 ways as a sum of consecutive naturals, for example, 16533174 + ... + 16533834.

It is an arithmetic number, because the mean of its divisors is an integer number (94881150).

Almost surely, 2^10928646144 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 10928646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217180800).

10928646144 is an abundant number, since it is smaller than the sum of its proper divisors (25505715456).

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

10928646144 is a wasteful number, since it uses less digits than its factorization.

10928646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10928646144 in words is "ten billion, nine hundred twenty-eight million, six hundred forty-six thousand, one hundred forty-four".