27963936 has 288 divisors, whose sum is σ = 107872128. Its totient is φ = 6635520.

The previous prime is 27963931. The next prime is 27963937. The reversal of 27963936 is 63936972.

27963936 is a `hidden beast` number, since 2 + 7 + 9 + 639 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×27963936² = 1563963433224192, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 27963891 and 27963900.

It is not an unprimeable number, because it can be changed into a prime (27963931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288240 + ... + 288336.

It is an arithmetic number, because the mean of its divisors is an integer number (374556).

Almost surely, 2^27963936 is an apocalyptic number.

27963936 is a gapful number since it is divisible by the number (26) 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 27963936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

27963936 is an abundant number, since it is smaller than the sum of its proper divisors (79908192).

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

27963936 is a wasteful number, since it uses less digits than its factorization.

27963936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 133 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 27963936 is about 5288.0937964450. The cubic root of 27963936 is about 303.5284702884.

Adding to 27963936 its sum of digits (45), we get a triangular number (27963981 = T₇₄₇₈).

The spelling of 27963936 in words is "twenty-seven million, nine hundred sixty-three thousand, nine hundred thirty-six".