10114928328 has 96 divisors (see below), whose sum is σ = 27789148800. Its totient is φ = 3063825408.

The previous prime is 10114928323. The next prime is 10114928333. The reversal of 10114928328 is 82382941101.

10114928328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 100573²-1.

It is an interprime number because it is at equal distance from previous prime (10114928323) and next prime (10114928333).

It is not an unprimeable number, because it can be changed into a prime (10114928323) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176001 + ... + 226287.

It is an arithmetic number, because the mean of its divisors is an integer number (289470300).

Almost surely, 2^10114928328 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 10114928328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894574400).

10114928328 is an abundant number, since it is smaller than the sum of its proper divisors (17674220472).

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

10114928328 is a wasteful number, since it uses less digits than its factorization.

10114928328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50359 (or 50338 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 10114928328 in words is "ten billion, one hundred fourteen million, nine hundred twenty-eight thousand, three hundred twenty-eight".