27796752 has 60 divisors (see below), whose sum is σ = 78415740. Its totient is φ = 9191424.

The previous prime is 27796723. The next prime is 27796777. The reversal of 27796752 is 25769772.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 21566736 = 2496^2 + 4644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27796698 and 27796707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19024 + ... + 20432.

It is an arithmetic number, because the mean of its divisors is an integer number (1306929).

Almost surely, 2^27796752 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 27796752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39207870).

27796752 is an abundant number, since it is smaller than the sum of its proper divisors (50618988).

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

27796752 is a wasteful number, since it uses less digits than its factorization.

27796752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1551 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 27796752 is about 5272.2625124324. The cubic root of 27796752 is about 302.9223733437.

The spelling of 27796752 in words is "twenty-seven million, seven hundred ninety-six thousand, seven hundred fifty-two".