27728600075 has 24 divisors (see below), whose sum is σ = 37615623696. Its totient is φ = 20109056000.

The previous prime is 27728600071. The next prime is 27728600083. The reversal of 27728600075 is 57000682772.

It is a happy number.

It is not a de Polignac number, because 27728600075 - 2² = 27728600071 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27728599999 and 27728600035.

It is not an unprimeable number, because it can be changed into a prime (27728600071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45746 + ... + 239895.

It is an arithmetic number, because the mean of its divisors is an integer number (1567317654).

Almost surely, 2^27728600075 is an apocalyptic number.

27728600075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27728600075 is a deficient number, since it is larger than the sum of its proper divisors (9887023621).

27728600075 is a wasteful number, since it uses less digits than its factorization.

27728600075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286015 (or 286010 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 27728600075 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred thousand, seventy-five".