27648192 has 224 divisors, whose sum is σ = 92171520. Its totient is φ = 7188480.

The previous prime is 27648191. The next prime is 27648193. The reversal of 27648192 is 29184672.

It is an interprime number because it is at equal distance from previous prime (27648191) and next prime (27648193).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27648192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27648191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521638 + ... + 521690.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 2^27648192 is an apocalyptic number.

27648192 is a gapful number since it is divisible by the number (22) 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 27648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

27648192 is an abundant number, since it is smaller than the sum of its proper divisors (64523328).

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

27648192 is a wasteful number, since it uses less digits than its factorization.

27648192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 27648192 is about 5258.1548094365. The cubic root of 27648192 is about 302.3817519293.

It can be divided in two parts, 27648 and 192, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 27648192 in words is "twenty-seven million, six hundred forty-eight thousand, one hundred ninety-two".