27825792 has 64 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 9205760.

The previous prime is 27825779. The next prime is 27825793. The reversal of 27825792 is 29752872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (27825793) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89317 + ... + 89627.

It is an arithmetic number, because the mean of its divisors is an integer number (1163565).

Almost surely, 2^27825792 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 27825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

27825792 is an abundant number, since it is smaller than the sum of its proper divisors (46642368).

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

27825792 is a wasteful number, since it uses less digits than its factorization.

27825792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 27825792 is about 5275.0158293601. The cubic root of 27825792 is about 303.0278269600.

The spelling of 27825792 in words is "twenty-seven million, eight hundred twenty-five thousand, seven hundred ninety-two".