10928328192 has 560 divisors, whose sum is σ = 36496056960. Its totient is φ = 3251736576.

The previous prime is 10928328167. The next prime is 10928328199. The reversal of 10928328192 is 29182382901.

It is a happy number.

10928328192 is a `hidden beast` number, since 1 + 0 + 9 + 283 + 281 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928328199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 163109343 + ... + 163109409.

Almost surely, 2^10928328192 is an apocalyptic number.

10928328192 is a gapful number since it is divisible by the number (12) 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 10928328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18248028480).

10928328192 is an abundant number, since it is smaller than the sum of its proper divisors (25567728768).

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

10928328192 is an frugal number, since it uses more digits than its factorization.

10928328192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10928328192 in words is "ten billion, nine hundred twenty-eight million, three hundred twenty-eight thousand, one hundred ninety-two".