27828480 has 72 divisors (see below), whose sum is σ = 88889472. Its totient is φ = 7419904.

The previous prime is 27828469. The next prime is 27828481. The reversal of 27828480 is 8482872.

It is a super-2 number, since 2×27828480² = 1548848598220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27828481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 7463.

It is an arithmetic number, because the mean of its divisors is an integer number (1234576).

Almost surely, 2^27828480 is an apocalyptic number.

27828480 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 27828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44444736).

27828480 is an abundant number, since it is smaller than the sum of its proper divisors (61060992).

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

27828480 is an equidigital number, since it uses as much as digits as its factorization.

27828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7271 (or 7257 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 27828480 is about 5275.2706091726. The cubic root of 27828480 is about 303.0375842452.

The spelling of 27828480 in words is "twenty-seven million, eight hundred twenty-eight thousand, four hundred eighty".