27825252 has 96 divisors (see below), whose sum is σ = 81134592. Its totient is φ = 7226496.

The previous prime is 27825251. The next prime is 27825283. The reversal of 27825252 is 25252872.

It is not an unprimeable number, because it can be changed into a prime (27825251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90483 + ... + 90789.

It is an arithmetic number, because the mean of its divisors is an integer number (845152).

Almost surely, 2^27825252 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 27825252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40567296).

27825252 is an abundant number, since it is smaller than the sum of its proper divisors (53309340).

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

27825252 is a wasteful number, since it uses less digits than its factorization.

27825252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its digits is 22400, while the sum is 33.

The square root of 27825252 is about 5274.9646444313. The cubic root of 27825252 is about 303.0258667153.

The spelling of 27825252 in words is "twenty-seven million, eight hundred twenty-five thousand, two hundred fifty-two".