28146161736 has 288 divisors, whose sum is σ = 97294841280. Its totient is φ = 7268486400.

The previous prime is 28146161663. The next prime is 28146161737. The reversal of 28146161736 is 63716164182.

28146161736 is a `hidden beast` number, since 2 + 8 + 14 + 616 + 17 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28146161691 and 28146161700.

It is not an unprimeable number, because it can be changed into a prime (28146161737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7022245 + ... + 7026251.

It is an arithmetic number, because the mean of its divisors is an integer number (337829310).

Almost surely, 2^28146161736 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 28146161736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48647420640).

28146161736 is an abundant number, since it is smaller than the sum of its proper divisors (69148679544).

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

28146161736 is a wasteful number, since it uses less digits than its factorization.

28146161736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4211 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 28146161736 in words is "twenty-eight billion, one hundred forty-six million, one hundred sixty-one thousand, seven hundred thirty-six".