27920000 has 80 divisors (see below), whose sum is σ = 69704250. Its totient is φ = 11136000.

The previous prime is 27919981. The next prime is 27920003. The reversal of 27920000 is 2972.

It can be written as a sum of positive squares in 5 ways, for example, as 1459264 + 26460736 = 1208^2 + 5144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (27920003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79826 + ... + 80174.

Almost surely, 2^27920000 is an apocalyptic number.

27920000 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 27920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34852125).

27920000 is an abundant number, since it is smaller than the sum of its proper divisors (41784250).

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

27920000 is an frugal number, since it uses more digits than its factorization.

27920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 27920000 is about 5283.9379254492. The cubic root of 27920000 is about 303.3694223723.

Adding to 27920000 its reverse (2972), we get a palindrome (27922972).

The spelling of 27920000 in words is "twenty-seven million, nine hundred twenty thousand".