27948014208 has 96 divisors (see below), whose sum is σ = 81057000960. Its totient is φ = 9242601984.

The previous prime is 27948014191. The next prime is 27948014233. The reversal of 27948014208 is 80241084972.

27948014208 is a `hidden beast` number, since 27 + 9 + 480 + 142 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50791 + ... + 241817.

It is an arithmetic number, because the mean of its divisors is an integer number (844343760).

Almost surely, 2^27948014208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27948014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40528500480).

27948014208 is an abundant number, since it is smaller than the sum of its proper divisors (53108986752).

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

27948014208 is a wasteful number, since it uses less digits than its factorization.

27948014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191174 (or 191159 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 27948014208 in words is "twenty-seven billion, nine hundred forty-eight million, fourteen thousand, two hundred eight".