27728760675 has 144 divisors (see below), whose sum is σ = 59003437824. Its totient is φ = 11360160000.

The previous prime is 27728760659. The next prime is 27728760691. The reversal of 27728760675 is 57606782772.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27728760659) and next prime (27728760691).

It is not a de Polignac number, because 27728760675 - 2⁴ = 27728760659 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2865345 + ... + 2875005.

It is an arithmetic number, because the mean of its divisors is an integer number (409746096).

Almost surely, 2^27728760675 is an apocalyptic number.

27728760675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27728760675 is an abundant number, since it is smaller than the sum of its proper divisors (31274677149).

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

27728760675 is a wasteful number, since it uses less digits than its factorization.

27728760675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 57.

The spelling of 27728760675 in words is "twenty-seven billion, seven hundred twenty-eight million, seven hundred sixty thousand, six hundred seventy-five".