10318028832 has 144 divisors (see below), whose sum is σ = 30715487712. Its totient is φ = 3406924800.

The previous prime is 10318028789. The next prime is 10318028893. The reversal of 10318028832 is 23882081301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825832 + ... + 838232.

It is an arithmetic number, because the mean of its divisors is an integer number (213301998).

Almost surely, 2^10318028832 is an apocalyptic number.

10318028832 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 10318028832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357743856).

10318028832 is an abundant number, since it is smaller than the sum of its proper divisors (20397458880).

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

10318028832 is a wasteful number, since it uses less digits than its factorization.

10318028832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12533 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10318028832 in words is "ten billion, three hundred eighteen million, twenty-eight thousand, eight hundred thirty-two".