17828938304 has 56 divisors (see below), whose sum is σ = 36622923960. Its totient is φ = 8601513984.

The previous prime is 17828938301. The next prime is 17828938327. The reversal of 17828938304 is 40383982871.

It can be written as a sum of positive squares in 4 ways, for example, as 11500417600 + 6328520704 = 107240^2 + 79552^2 .

It is not an unprimeable number, because it can be changed into a prime (17828938301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5479142 + ... + 5482394.

It is an arithmetic number, because the mean of its divisors is an integer number (653980785).

Almost surely, 2^17828938304 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 17828938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311461980).

17828938304 is an abundant number, since it is smaller than the sum of its proper divisors (18793985656).

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

17828938304 is a wasteful number, since it uses less digits than its factorization.

17828938304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The spelling of 17828938304 in words is "seventeen billion, eight hundred twenty-eight million, nine hundred thirty-eight thousand, three hundred four".