27708480 has 140 divisors (see below), whose sum is σ = 98656140. Its totient is φ = 7382016.

The previous prime is 27708467. The next prime is 27708481. The reversal of 27708480 is 8480772.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 16257024 = 3384^2 + 4032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27708481) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25386 + ... + 26454.

Almost surely, 2^27708480 is an apocalyptic number.

27708480 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 27708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49328070).

27708480 is an abundant number, since it is smaller than the sum of its proper divisors (70947660).

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

27708480 is a wasteful number, since it uses less digits than its factorization.

27708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 27708480 is about 5263.8844972131. The cubic root of 27708480 is about 302.6013775824.

The spelling of 27708480 in words is "twenty-seven million, seven hundred eight thousand, four hundred eighty".