27936468 has 72 divisors (see below), whose sum is σ = 84268800. Its totient is φ = 7980336.

The previous prime is 27936463. The next prime is 27936473. The reversal of 27936468 is 86463972.

It is an interprime number because it is at equal distance from previous prime (27936463) and next prime (27936473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27936463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2653 + ... + 7931.

It is an arithmetic number, because the mean of its divisors is an integer number (1170400).

Almost surely, 2^27936468 is an apocalyptic number.

27936468 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 27936468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42134400).

27936468 is an abundant number, since it is smaller than the sum of its proper divisors (56332332).

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

27936468 is a wasteful number, since it uses less digits than its factorization.

27936468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5291 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27936468 is about 5285.4960032148. The cubic root of 27936468 is about 303.4290559173.

It can be divided in two parts, 2793 and 6468, that added together give a cube (9261 = 21³).

The spelling of 27936468 in words is "twenty-seven million, nine hundred thirty-six thousand, four hundred sixty-eight".