10382156928 has 768 divisors, whose sum is σ = 38494310400. Its totient is φ = 2637619200.

The previous prime is 10382156843. The next prime is 10382156963. The reversal of 10382156928 is 82965128301.

10382156928 is a `hidden beast` number, since 1 + 0 + 3 + 82 + 1 + 569 + 2 + 8 = 666.

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 95 ways as a sum of consecutive naturals, for example, 97029451 + ... + 97029557.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^10382156928 is an apocalyptic number.

10382156928 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 10382156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

10382156928 is an abundant number, since it is smaller than the sum of its proper divisors (28112153472).

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

10382156928 is a wasteful number, since it uses less digits than its factorization.

10382156928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10382156928 in words is "ten billion, three hundred eighty-two million, one hundred fifty-six thousand, nine hundred twenty-eight".