17728710432 has 96 divisors (see below), whose sum is σ = 47910183552. Its totient is φ = 5736075264.

The previous prime is 17728710427. The next prime is 17728710451. The reversal of 17728710432 is 23401782771.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532253 + ... + 1543779.

It is an arithmetic number, because the mean of its divisors is an integer number (499064412).

Almost surely, 2^17728710432 is an apocalyptic number.

17728710432 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 17728710432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23955091776).

17728710432 is an abundant number, since it is smaller than the sum of its proper divisors (30181473120).

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

17728710432 is a wasteful number, since it uses less digits than its factorization.

17728710432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 17728710432 in words is "seventeen billion, seven hundred twenty-eight million, seven hundred ten thousand, four hundred thirty-two".