10331713728 has 448 divisors, whose sum is σ = 36517478400. Its totient is φ = 2802263040.

The previous prime is 10331713699. The next prime is 10331713741. The reversal of 10331713728 is 82731713301.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 10331713692 and 10331713701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22123351 + ... + 22123817.

Almost surely, 2^10331713728 is an apocalyptic number.

10331713728 is a gapful number since it is divisible by the number (18) 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 10331713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258739200).

10331713728 is an abundant number, since it is smaller than the sum of its proper divisors (26185764672).

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

10331713728 is a wasteful number, since it uses less digits than its factorization.

10331713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 10331713728 in words is "ten billion, three hundred thirty-one million, seven hundred thirteen thousand, seven hundred twenty-eight".