28128846267 has 64 divisors (see below), whose sum is σ = 44690393600. Its totient is φ = 17652344256.

The previous prime is 28128846241. The next prime is 28128846269. The reversal of 28128846267 is 76264882182.

28128846267 is a `hidden beast` number, since 2 + 8 + 1 + 2 + 8 + 8 + 4 + 626 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-28128846267 is a prime.

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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28128846269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6771063 + ... + 6775215.

It is an arithmetic number, because the mean of its divisors is an integer number (698287400).

Almost surely, 2^28128846267 is an apocalyptic number.

28128846267 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

28128846267 is a deficient number, since it is larger than the sum of its proper divisors (16561547333).

28128846267 is an equidigital number, since it uses as much as digits as its factorization.

28128846267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4338 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 28128846267 in words is "twenty-eight billion, one hundred twenty-eight million, eight hundred forty-six thousand, two hundred sixty-seven".