28001719116 has 288 divisors, whose sum is σ = 89291704320. Its totient is φ = 7490340864.

The previous prime is 28001719093. The next prime is 28001719117. The reversal of 28001719116 is 61191710082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28001719117) 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, 26950125 + ... + 26951163.

It is an arithmetic number, because the mean of its divisors is an integer number (310040640).

Almost surely, 2^28001719116 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 28001719116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44645852160).

28001719116 is an abundant number, since it is smaller than the sum of its proper divisors (61289985204).

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

28001719116 is a wasteful number, since it uses less digits than its factorization.

28001719116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 28001719116 in words is "twenty-eight billion, one million, seven hundred nineteen thousand, one hundred sixteen".