27893008144 has 45 divisors (see below), whose sum is σ = 55385778279. Its totient is φ = 13608137760.

The previous prime is 27893008127. The next prime is 27893008147. The reversal of 27893008144 is 44180039872.

The square root of 27893008144 is 167012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27893008094 and 27893008103.

It is not an unprimeable number, because it can be changed into a prime (27893008147) 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 8 ways as a sum of consecutive naturals, for example, 28725579 + ... + 28726549.

Almost surely, 2^27893008144 is an apocalyptic number.

27893008144 is the 167012-nd square number.

It is an amenable number.

27893008144 is a deficient number, since it is larger than the sum of its proper divisors (27492770135).

27893008144 is an frugal number, since it uses more digits than its factorization.

27893008144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 27893008144 in words is "twenty-seven billion, eight hundred ninety-three million, eight thousand, one hundred forty-four".