27789952 has 32 divisors (see below), whose sum is σ = 55692000. Its totient is φ = 13812480.

The previous prime is 27789943. The next prime is 27789973. The reversal of 27789952 is 25998772.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 27789896 and 27789905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24927 + ... + 26017.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^27789952 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 27789952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27846000).

27789952 is an abundant number, since it is smaller than the sum of its proper divisors (27902048).

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

27789952 is a wasteful number, since it uses less digits than its factorization.

27789952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1292 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The square root of 27789952 is about 5271.6175885586. The cubic root of 27789952 is about 302.8976697364.

The spelling of 27789952 in words is "twenty-seven million, seven hundred eighty-nine thousand, nine hundred fifty-two".