27728133 has 16 divisors (see below), whose sum is σ = 39624576. Its totient is φ = 17202240.

The previous prime is 27728081. The next prime is 27728149. The reversal of 27728133 is 33182772.

It is not a de Polignac number, because 27728133 - 2⁶ = 27728069 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27728094 and 27728103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728333) 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 15 ways as a sum of consecutive naturals, for example, 2878 + ... + 7983.

It is an arithmetic number, because the mean of its divisors is an integer number (2476536).

Almost surely, 2^27728133 is an apocalyptic number.

27728133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27728133 is a deficient number, since it is larger than the sum of its proper divisors (11896443).

27728133 is a wasteful number, since it uses less digits than its factorization.

27728133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924.

The product of its digits is 14112, while the sum is 33.

The square root of 27728133 is about 5265.7509435977. The cubic root of 27728133 is about 302.6729034522.

The spelling of 27728133 in words is "twenty-seven million, seven hundred twenty-eight thousand, one hundred thirty-three".