16027687728 has 200 divisors, whose sum is σ = 52587519600. Its totient is φ = 4671945216.

The previous prime is 16027687699. The next prime is 16027687783. The reversal of 16027687728 is 82778672061.

It is a happy number.

16027687728 is a `hidden beast` number, since 1 + 602 + 7 + 6 + 8 + 7 + 7 + 28 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 295078 + ... + 345146.

It is an arithmetic number, because the mean of its divisors is an integer number (262937598).

Almost surely, 2^16027687728 is an apocalyptic number.

16027687728 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 16027687728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26293759800).

16027687728 is an abundant number, since it is smaller than the sum of its proper divisors (36559831872).

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

16027687728 is a wasteful number, since it uses less digits than its factorization.

16027687728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50121 (or 50106 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

It can be divided in two parts, 160276 and 87728, that added together give a square (248004 = 498²).

The spelling of 16027687728 in words is "sixteen billion, twenty-seven million, six hundred eighty-seven thousand, seven hundred twenty-eight".