28114136156160 has 2304 divisors, whose sum is σ = 112349922048000. Its totient is φ = 6647994777600.

The previous prime is 28114136156147. The next prime is 28114136156213. The reversal of 28114136156160 is 6165163141182.

28114136156160 is a `hidden beast` number, since 2 + 8 + 1 + 1 + 4 + 13 + 6 + 15 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186186332085 + ... + 186186332235.

It is an arithmetic number, because the mean of its divisors is an integer number (48762987000).

Almost surely, 2^{28114136156160} is an apocalyptic number.

28114136156160 is a gapful number since it is divisible by the number (20) 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 28114136156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56174961024000).

28114136156160 is an abundant number, since it is smaller than the sum of its proper divisors (84235785891840).

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

28114136156160 is a wasteful number, since it uses less digits than its factorization.

28114136156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 28114136156160 in words is "twenty-eight trillion, one hundred fourteen billion, one hundred thirty-six million, one hundred fifty-six thousand, one hundred sixty".