27872768 has 120 divisors (see below), whose sum is σ = 71372664. Its totient is φ = 10752000.

The previous prime is 27872759. The next prime is 27872777. The reversal of 27872768 is 86727872.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27872759) and next prime (27872777).

It is a congruent number.

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, 275918 + ... + 276018.

Almost surely, 2^27872768 is an apocalyptic number.

27872768 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 27872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35686332).

27872768 is an abundant number, since it is smaller than the sum of its proper divisors (43499896).

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

27872768 is a wasteful number, since it uses less digits than its factorization.

27872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 526848, while the sum is 47.

The square root of 27872768 is about 5279.4666397279. The cubic root of 27872768 is about 303.1982567551.

It can be divided in two parts, 2787 and 2768, that added together give a palindrome (5555).

The spelling of 27872768 in words is "twenty-seven million, eight hundred seventy-two thousand, seven hundred sixty-eight".