27828144 has 80 divisors (see below), whose sum is σ = 82083040. Its totient is φ = 9020160.

The previous prime is 27828131. The next prime is 27828149. The reversal of 27828144 is 44182872.

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

It is a junction number, because it is equal to n+sod(n) for n = 27828099 and 27828108.

It is not an unprimeable number, because it can be changed into a prime (27828149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15114 + ... + 16854.

It is an arithmetic number, because the mean of its divisors is an integer number (1026038).

Almost surely, 2^27828144 is an apocalyptic number.

27828144 is a gapful number since it is divisible by the number (24) 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 27828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41041520).

27828144 is an abundant number, since it is smaller than the sum of its proper divisors (54254896).

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

27828144 is a wasteful number, since it uses less digits than its factorization.

27828144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1783 counting only the distinct ones).

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

The square root of 27828144 is about 5275.2387623690. The cubic root of 27828144 is about 303.0363646189.

It can be divided in two parts, 27828 and 144, that added together give a palindrome (27972).

The spelling of 27828144 in words is "twenty-seven million, eight hundred twenty-eight thousand, one hundred forty-four".