27907968 has 64 divisors (see below), whose sum is σ = 80881920. Its totient is φ = 8455680.

The previous prime is 27907963. The next prime is 27908011. The reversal of 27907968 is 86970972.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27907963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921 + ... + 7527.

It is an arithmetic number, because the mean of its divisors is an integer number (1263780).

Almost surely, 2^27907968 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 27907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40440960).

27907968 is an abundant number, since it is smaller than the sum of its proper divisors (52973952).

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

27907968 is a wasteful number, since it uses less digits than its factorization.

27907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6635 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 27907968 is about 5282.7992579692. The cubic root of 27907968 is about 303.3258375424.

The spelling of 27907968 in words is "twenty-seven million, nine hundred seven thousand, nine hundred sixty-eight".