27824896 has 72 divisors (see below), whose sum is σ = 62325648. Its totient is φ = 12288000.

The previous prime is 27824861. The next prime is 27824897. The reversal of 27824896 is 69842872.

It is not an unprimeable number, because it can be changed into a prime (27824897) 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, 115336 + ... + 115576.

It is an arithmetic number, because the mean of its divisors is an integer number (865634).

Almost surely, 2^27824896 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 27824896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31162824).

27824896 is an abundant number, since it is smaller than the sum of its proper divisors (34500752).

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

27824896 is a wasteful number, since it uses less digits than its factorization.

27824896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 295 counting only the distinct ones).

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

The square root of 27824896 is about 5274.9309000213. The cubic root of 27824896 is about 303.0245743919.

The spelling of 27824896 in words is "twenty-seven million, eight hundred twenty-four thousand, eight hundred ninety-six".