27983872 has 68 divisors (see below), whose sum is σ = 65011216. Its totient is φ = 11796480.

The previous prime is 27983863. The next prime is 27983881. The reversal of 27983872 is 27838972.

It is an interprime number because it is at equal distance from previous prime (27983863) and next prime (27983881).

It is a super-2 number, since 2×27983872² = 1566194184224768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458722 + ... + 458782.

Almost surely, 2^27983872 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 27983872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32505608).

27983872 is an abundant number, since it is smaller than the sum of its proper divisors (37027344).

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

27983872 is an frugal number, since it uses more digits than its factorization.

27983872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The square root of 27983872 is about 5289.9784498616. The cubic root of 27983872 is about 303.6005834816.

It can be divided in two parts, 2798 and 3872, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 27983872 in words is "twenty-seven million, nine hundred eighty-three thousand, eight hundred seventy-two".