10917001728 has 120 divisors (see below), whose sum is σ = 31739021028. Its totient is φ = 3612229632.

The previous prime is 10917001717. The next prime is 10917001729. The reversal of 10917001728 is 82710071901.

It can be written as a sum of positive squares in 2 ways, for example, as 10267363584 + 649638144 = 101328^2 + 25488^2 .

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 = 10917001692 and 10917001701.

It is not an unprimeable number, because it can be changed into a prime (10917001729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622650 + ... + 639942.

Almost surely, 2^10917001728 is an apocalyptic number.

10917001728 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 10917001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869510514).

10917001728 is an abundant number, since it is smaller than the sum of its proper divisors (20822019300).

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

10917001728 is a wasteful number, since it uses less digits than its factorization.

10917001728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17454 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 10917001728 in words is "ten billion, nine hundred seventeen million, one thousand, seven hundred twenty-eight".