17928138816 has 189 divisors, whose sum is σ = 59852710749. Its totient is φ = 5115898368.

The previous prime is 17928138773. The next prime is 17928138847. The reversal of 17928138816 is 61883182971.

The square root of 17928138816 is 133896.

It is a perfect power (a square), and thus also a powerful number.

17928138816 is a `hidden beast` number, since 179 + 2 + 81 + 388 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8693697600 + 9234441216 = 93240^2 + 96096^2 .

It is a super-2 number, since 2×17928138816² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22494130 + ... + 22494926.

Almost surely, 2^17928138816 is an apocalyptic number.

17928138816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17928138816 is the 133896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17928138816

17928138816 is an abundant number, since it is smaller than the sum of its proper divisors (41924571933).

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

17928138816 is an frugal number, since it uses more digits than its factorization.

17928138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 809 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 17928138816 in words is "seventeen billion, nine hundred twenty-eight million, one hundred thirty-eight thousand, eight hundred sixteen".