27945280 has 112 divisors (see below), whose sum is σ = 77029056. Its totient is φ = 9543680.

The previous prime is 27945277. The next prime is 27945283. The reversal of 27945280 is 8254972.

It is an interprime number because it is at equal distance from previous prime (27945277) and next prime (27945283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27945283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59607 + ... + 60073.

Almost surely, 2^27945280 is an apocalyptic number.

27945280 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 27945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38514528).

27945280 is an abundant number, since it is smaller than the sum of its proper divisors (49083776).

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

27945280 is a wasteful number, since it uses less digits than its factorization.

27945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 27945280 is about 5286.3295394820. The cubic root of 27945280 is about 303.4609561054.

The spelling of 27945280 in words is "twenty-seven million, nine hundred forty-five thousand, two hundred eighty".