27284480 has 66 divisors (see below), whose sum is σ = 66359646. Its totient is φ = 10764288.

The previous prime is 27284461. The next prime is 27284501. The reversal of 27284480 is 8448272.

It can be written as a sum of positive squares in 3 ways, for example, as 3936256 + 23348224 = 1984^2 + 4832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 27284480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 373724 + ... + 373796.

Almost surely, 2^27284480 is an apocalyptic number.

27284480 is a gapful number since it is divisible by the number (20) 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 27284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33179823).

27284480 is an abundant number, since it is smaller than the sum of its proper divisors (39075166).

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

27284480 is an frugal number, since it uses more digits than its factorization.

27284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 27284480 is about 5223.4547954395. The cubic root of 27284480 is about 301.0499506879.

The spelling of 27284480 in words is "twenty-seven million, two hundred eighty-four thousand, four hundred eighty".