17948905728 has 144 divisors (see below), whose sum is σ = 54471586176. Its totient is φ = 5197824000.

The previous prime is 17948905721. The next prime is 17948905739. The reversal of 17948905728 is 82750984971.

It is not an unprimeable number, because it can be changed into a prime (17948905721) by changing a digit.

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, 116853 + ... + 222603.

It is an arithmetic number, because the mean of its divisors is an integer number (378274904).

Almost surely, 2^17948905728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17948905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235793088).

17948905728 is an abundant number, since it is smaller than the sum of its proper divisors (36522680448).

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

17948905728 is a wasteful number, since it uses less digits than its factorization.

17948905728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105800 (or 105786 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 60.

The spelling of 17948905728 in words is "seventeen billion, nine hundred forty-eight million, nine hundred five thousand, seven hundred twenty-eight".