10825350928 has 80 divisors (see below), whose sum is σ = 25468369920. Its totient is φ = 4354086528.

The previous prime is 10825350889. The next prime is 10825350953. The reversal of 10825350928 is 82905352801.

10825350928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10825350928³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 203925 + ... + 251467.

It is an arithmetic number, because the mean of its divisors is an integer number (318354624).

Almost surely, 2^10825350928 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 10825350928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12734184960).

10825350928 is an abundant number, since it is smaller than the sum of its proper divisors (14643018992).

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

10825350928 is a wasteful number, since it uses less digits than its factorization.

10825350928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47684 (or 47678 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 10825350928 in words is "ten billion, eight hundred twenty-five million, three hundred fifty thousand, nine hundred twenty-eight".