27838480 has 20 divisors (see below), whose sum is σ = 64724652. Its totient is φ = 11135360.

The previous prime is 27838451. The next prime is 27838483. The reversal of 27838480 is 8483872.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 17572864 = 3204^2 + 4192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (27838483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173911 + ... + 174070.

Almost surely, 2^27838480 is an apocalyptic number.

27838480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27838480 is an abundant number, since it is smaller than the sum of its proper divisors (36886172).

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

27838480 is a wasteful number, since it uses less digits than its factorization.

27838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347994 (or 347988 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 27838480 is about 5276.2183427148. The cubic root of 27838480 is about 303.0738781539.

The spelling of 27838480 in words is "twenty-seven million, eight hundred thirty-eight thousand, four hundred eighty".