27117828 has 72 divisors (see below), whose sum is σ = 74238528. Its totient is φ = 8639136.

The previous prime is 27117823. The next prime is 27117833. The reversal of 27117828 is 82871172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27117823) and next prime (27117833).

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 = 27117792 and 27117801.

It is not an unprimeable number, because it can be changed into a prime (27117823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21750 + ... + 22962.

Almost surely, 2^27117828 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 27117828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37119264).

27117828 is an abundant number, since it is smaller than the sum of its proper divisors (47120700).

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

27117828 is a wasteful number, since it uses less digits than its factorization.

27117828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

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

The square root of 27117828 is about 5207.4780844474. The cubic root of 27117828 is about 300.4357667181.

It can be divided in two parts, 27 and 117828, that added together give a triangular number (117855 = T₄₈₅).

The spelling of 27117828 in words is "twenty-seven million, one hundred seventeen thousand, eight hundred twenty-eight".