16928736000 has 1152 divisors, whose sum is σ = 69425620992. Its totient is φ = 3604480000.

The previous prime is 16928735987. The next prime is 16928736007. The reversal of 16928736000 is 63782961.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16928736007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 412895980 + ... + 412896020.

It is an arithmetic number, because the mean of its divisors is an integer number (60265296).

Almost surely, 2^16928736000 is an apocalyptic number.

16928736000 is a gapful number since it is divisible by the number (10) 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 16928736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712810496).

16928736000 is an abundant number, since it is smaller than the sum of its proper divisors (52496884992).

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

16928736000 is a wasteful number, since it uses less digits than its factorization.

16928736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 16928736000 in words is "sixteen billion, nine hundred twenty-eight million, seven hundred thirty-six thousand".