27829680 has 160 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 6598656.

The previous prime is 27829679. The next prime is 27829721. The reversal of 27829680 is 8692872.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77341 + ... + 77699.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^27829680 is an apocalyptic number.

27829680 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 27829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

27829680 is an abundant number, since it is smaller than the sum of its proper divisors (68592720).

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

27829680 is a wasteful number, since it uses less digits than its factorization.

27829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 27829680 is about 5275.3843461875. The cubic root of 27829680 is about 303.0419399733.

The spelling of 27829680 in words is "twenty-seven million, eight hundred twenty-nine thousand, six hundred eighty".