27934368 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 7253760.

The previous prime is 27934367. The next prime is 27934369. The reversal of 27934368 is 86343972.

It is an interprime number because it is at equal distance from previous prime (27934367) and next prime (27934369).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27934363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5503 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^27934368 is an apocalyptic number.

27934368 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 27934368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

27934368 is an abundant number, since it is smaller than the sum of its proper divisors (63511392).

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

27934368 is a wasteful number, since it uses less digits than its factorization.

27934368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3802 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 27934368 is about 5285.2973426289. The cubic root of 27934368 is about 303.4214527492.

The spelling of 27934368 in words is "twenty-seven million, nine hundred thirty-four thousand, three hundred sixty-eight".