27829984 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 10409472.

The previous prime is 27829943. The next prime is 27829999. The reversal of 27829984 is 48992872.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 55077 + ... + 55579.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 2^27829984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27829984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

27829984 is an abundant number, since it is smaller than the sum of its proper divisors (43294496).

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

27829984 is a wasteful number, since it uses less digits than its factorization.

27829984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The square root of 27829984 is about 5275.4131591753. The cubic root of 27829984 is about 303.0430434045.

The spelling of 27829984 in words is "twenty-seven million, eight hundred twenty-nine thousand, nine hundred eighty-four".