27280000 has 160 divisors (see below), whose sum is σ = 76475520. Its totient is φ = 9600000.

The previous prime is 27279997. The next prime is 27280003. The reversal of 27280000 is 8272.

It is an interprime number because it is at equal distance from previous prime (27279997) and next prime (27280003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 27280000.

It is not an unprimeable number, because it can be changed into a prime (27280003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879985 + ... + 880015.

It is an arithmetic number, because the mean of its divisors is an integer number (477972).

Almost surely, 2^27280000 is an apocalyptic number.

27280000 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 27280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38237760).

27280000 is an abundant number, since it is smaller than the sum of its proper divisors (49195520).

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

27280000 is an equidigital number, since it uses as much as digits as its factorization.

27280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 27280000 is about 5223.0259428802. The cubic root of 27280000 is about 301.0334727292.

Adding to 27280000 its reverse (8272), we get a palindrome (27288272).

The spelling of 27280000 in words is "twenty-seven million, two hundred eighty thousand".