27748240 has 40 divisors (see below), whose sum is σ = 69479928. Its totient is φ = 10245120.

The previous prime is 27748183. The next prime is 27748297. The reversal of 27748240 is 4284772.

It is an interprime number because it is at equal distance from previous prime (27748183) and next prime (27748297).

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 25887744 = 1364^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27748196 and 27748205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12301 + ... + 14380.

Almost surely, 2^27748240 is an apocalyptic number.

27748240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27748240 is an abundant number, since it is smaller than the sum of its proper divisors (41731688).

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

27748240 is a wasteful number, since it uses less digits than its factorization.

27748240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26707 (or 26701 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 27748240 is about 5267.6598219703. The cubic root of 27748240 is about 302.7460466580.

The spelling of 27748240 in words is "twenty-seven million, seven hundred forty-eight thousand, two hundred forty".