27961248 has 48 divisors (see below), whose sum is σ = 83885760. Its totient is φ = 7988736.

The previous prime is 27961247. The next prime is 27961259. The reversal of 27961248 is 84216972.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (27961247) 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, 20133 + ... + 21476.

It is an arithmetic number, because the mean of its divisors is an integer number (1747620).

Almost surely, 2^27961248 is an apocalyptic number.

27961248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27961248 is an abundant number, since it is smaller than the sum of its proper divisors (55924512).

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

27961248 is a wasteful number, since it uses less digits than its factorization.

27961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41629 (or 41621 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27961248 is about 5287.8396344821. The cubic root of 27961248 is about 303.5187445393.

The spelling of 27961248 in words is "twenty-seven million, nine hundred sixty-one thousand, two hundred forty-eight".