10311824028 has 72 divisors (see below), whose sum is σ = 27883223424. Its totient is φ = 2940972800.

The previous prime is 10311824027. The next prime is 10311824063. The reversal of 10311824028 is 82042811301.

10311824028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10311823986 and 10311824004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311824027) 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, 97008 + ... + 173303.

It is an arithmetic number, because the mean of its divisors is an integer number (387266992).

Almost surely, 2^10311824028 is an apocalyptic number.

It is an amenable number.

10311824028 is an abundant number, since it is smaller than the sum of its proper divisors (17571399396).

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

10311824028 is a wasteful number, since it uses less digits than its factorization.

10311824028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270363 (or 270344 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 10311824028 in words is "ten billion, three hundred eleven million, eight hundred twenty-four thousand, twenty-eight".