27888640 has 88 divisors (see below), whose sum is σ = 72218160. Its totient is φ = 10272768.

The previous prime is 27888629. The next prime is 27888647. The reversal of 27888640 is 4688872.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27888647) 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, 66351 + ... + 66769.

Almost surely, 2^27888640 is an apocalyptic number.

27888640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36109080).

27888640 is an abundant number, since it is smaller than the sum of its proper divisors (44329520).

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

27888640 is a wasteful number, since it uses less digits than its factorization.

27888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 27888640 is about 5280.9696079413. The cubic root of 27888640 is about 303.2557973812.

The spelling of 27888640 in words is "twenty-seven million, eight hundred eighty-eight thousand, six hundred forty".