27153828 has 72 divisors (see below), whose sum is σ = 78289848. Its totient is φ = 7861248.

The previous prime is 27153809. The next prime is 27153839. The reversal of 27153828 is 82835172.

27153828 is a `hidden beast` number, since 271 + 5 + 382 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9108324 + 18045504 = 3018^2 + 4248^2 .

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 = 27153792 and 27153801.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6250 + ... + 9662.

It is an arithmetic number, because the mean of its divisors is an integer number (1087359).

Almost surely, 2^27153828 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 27153828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39144924).

27153828 is an abundant number, since it is smaller than the sum of its proper divisors (51136020).

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

27153828 is a wasteful number, since it uses less digits than its factorization.

27153828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3453 (or 3448 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 27153828 is about 5210.9335056207. The cubic root of 27153828 is about 300.5686547582.

The spelling of 27153828 in words is "twenty-seven million, one hundred fifty-three thousand, eight hundred twenty-eight".