16712542728 has 384 divisors, whose sum is σ = 58028006400. Its totient is φ = 4398914304.

The previous prime is 16712542727. The next prime is 16712542753. The reversal of 16712542728 is 82724521761.

16712542728 is a `hidden beast` number, since 16 + 71 + 2 + 542 + 7 + 28 = 666.

It is a Cunningham number, because it is equal to 129277²-1.

It is not an unprimeable number, because it can be changed into a prime (16712542727) 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 95 ways as a sum of consecutive naturals, for example, 9565551 + ... + 9567297.

It is an arithmetic number, because the mean of its divisors is an integer number (151114600).

Almost surely, 2^16712542728 is an apocalyptic number.

16712542728 is a gapful number since it is divisible by the number (18) 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 16712542728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29014003200).

16712542728 is an abundant number, since it is smaller than the sum of its proper divisors (41315463672).

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

16712542728 is a wasteful number, since it uses less digits than its factorization.

16712542728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1815 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 16712542728 in words is "sixteen billion, seven hundred twelve million, five hundred forty-two thousand, seven hundred twenty-eight".