27812448 has 72 divisors (see below), whose sum is σ = 79606800. Its totient is φ = 9210624.

The previous prime is 27812441. The next prime is 27812453. The reversal of 27812448 is 84421872.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27812441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77293 + ... + 77651.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^27812448 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 27812448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39803400).

27812448 is an abundant number, since it is smaller than the sum of its proper divisors (51794352).

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

27812448 is a wasteful number, since it uses less digits than its factorization.

27812448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 633 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 27812448 is about 5273.7508473571. The cubic root of 27812448 is about 302.9793797032.

The spelling of 27812448 in words is "twenty-seven million, eight hundred twelve thousand, four hundred forty-eight".