27788772 has 48 divisors (see below), whose sum is σ = 73027584. Its totient is φ = 8148000.

The previous prime is 27788753. The next prime is 27788777.

27788772 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (27788777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (1521408).

Almost surely, 2^27788772 is an apocalyptic number.

27788772 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27788772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36513792).

27788772 is an abundant number, since it is smaller than the sum of its proper divisors (45238812).

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

27788772 is a wasteful number, since it uses less digits than its factorization.

27788772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6838 counting only the distinct ones).

The product of its digits is 614656, while the sum is 48.

The square root of 27788772 is about 5271.5056672643. The cubic root of 27788772 is about 302.8933825237.

The spelling of 27788772 in words is "twenty-seven million, seven hundred eighty-eight thousand, seven hundred seventy-two".