27733468 has 48 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 11341440.

The previous prime is 27733451. The next prime is 27733493. The reversal of 27733468 is 86433772.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 27733468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77073 + ... + 77431.

It is an arithmetic number, because the mean of its divisors is an integer number (1209600).

Almost surely, 2^27733468 is an apocalyptic number.

27733468 is a gapful number since it is divisible by the number (28) 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 27733468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

27733468 is an abundant number, since it is smaller than the sum of its proper divisors (30327332).

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

27733468 is a wasteful number, since it uses less digits than its factorization.

27733468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 488 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 27733468 is about 5266.2574946541. The cubic root of 27733468 is about 302.6923140197.

It can be divided in two parts, 2773 and 3468, that added together give a square (6241 = 79²).

The spelling of 27733468 in words is "twenty-seven million, seven hundred thirty-three thousand, four hundred sixty-eight".