27984480 has 96 divisors (see below), whose sum is σ = 88923744. Its totient is φ = 7397376.

The previous prime is 27984461. The next prime is 27984497. The reversal of 27984480 is 8448972.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27984480² = 1566262241740800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82872 + ... + 83208.

It is an arithmetic number, because the mean of its divisors is an integer number (926289).

Almost surely, 2^27984480 is an apocalyptic number.

27984480 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 27984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461872).

27984480 is an abundant number, since it is smaller than the sum of its proper divisors (60939264).

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

27984480 is a wasteful number, since it uses less digits than its factorization.

27984480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 27984480 is about 5290.0359167023. The cubic root of 27984480 is about 303.6027822221.

The spelling of 27984480 in words is "twenty-seven million, nine hundred eighty-four thousand, four hundred eighty".