27981824 has 48 divisors (see below), whose sum is σ = 60311160. Its totient is φ = 12902400.

The previous prime is 27981797. The next prime is 27981829. The reversal of 27981824 is 42818972.

It is a super-3 number, since 3×27981824³ (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27981829) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26099 + ... + 27149.

Almost surely, 2^27981824 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 27981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30155580).

27981824 is an abundant number, since it is smaller than the sum of its proper divisors (32329336).

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

27981824 is a wasteful number, since it uses less digits than its factorization.

27981824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 27981824 is about 5289.7848727524. The cubic root of 27981824 is about 303.5931769635.

The spelling of 27981824 in words is "twenty-seven million, nine hundred eighty-one thousand, eight hundred twenty-four".