10381760928 has 432 divisors, whose sum is σ = 38868639264. Its totient is φ = 2695472640.

The previous prime is 10381760887. The next prime is 10381760941. The reversal of 10381760928 is 82906718301.

10381760928 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 17 + 609 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10381760928² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4190026 + ... + 4192502.

It is an arithmetic number, because the mean of its divisors is an integer number (89973702).

Almost surely, 2^10381760928 is an apocalyptic number.

10381760928 is a gapful number since it is divisible by the number (18) 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 10381760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434319632).

10381760928 is an abundant number, since it is smaller than the sum of its proper divisors (28486878336).

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

10381760928 is a wasteful number, since it uses less digits than its factorization.

10381760928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10381760928 in words is "ten billion, three hundred eighty-one million, seven hundred sixty thousand, nine hundred twenty-eight".