27811728 has 160 divisors (see below), whose sum is σ = 96779520. Its totient is φ = 7464960.

The previous prime is 27811717. The next prime is 27811739. The reversal of 27811728 is 82711872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27811717) and next prime (27811739).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27811692 and 27811701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51138 + ... + 51678.

It is an arithmetic number, because the mean of its divisors is an integer number (604872).

Almost surely, 2^27811728 is an apocalyptic number.

27811728 is a gapful number since it is divisible by the number (28) 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 27811728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48389760).

27811728 is an abundant number, since it is smaller than the sum of its proper divisors (68967792).

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

27811728 is a wasteful number, since it uses less digits than its factorization.

27811728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 27811728 is about 5273.6825843048. The cubic root of 27811728 is about 302.9767652020.

The spelling of 27811728 in words is "twenty-seven million, eight hundred eleven thousand, seven hundred twenty-eight".