27728617672 has 32 divisors (see below), whose sum is σ = 59427083520. Its totient is φ = 11881969920.

The previous prime is 27728617607. The next prime is 27728617711. The reversal of 27728617672 is 27671682772.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 400672 + ... + 464752.

It is an arithmetic number, because the mean of its divisors is an integer number (1857096360).

Almost surely, 2^27728617672 is an apocalyptic number.

It is an amenable number.

27728617672 is an abundant number, since it is smaller than the sum of its proper divisors (31698465848).

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

27728617672 is a wasteful number, since it uses less digits than its factorization.

27728617672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71821 (or 71817 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 55.

The spelling of 27728617672 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred seventeen thousand, six hundred seventy-two".