27984320 has 168 divisors, whose sum is σ = 84746592. Its totient is φ = 8570880.

The previous prime is 27984301. The next prime is 27984343. The reversal of 27984320 is 2348972.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902705 + ... + 902735.

It is an arithmetic number, because the mean of its divisors is an integer number (504444).

Almost surely, 2^27984320 is an apocalyptic number.

27984320 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 27984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42373296).

27984320 is an abundant number, since it is smaller than the sum of its proper divisors (56762272).

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

27984320 is a wasteful number, since it uses less digits than its factorization.

27984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 27984320 is about 5290.0207939100. The cubic root of 27984320 is about 303.6022036093.

The spelling of 27984320 in words is "twenty-seven million, nine hundred eighty-four thousand, three hundred twenty".