27228480 has 112 divisors (see below), whose sum is σ = 87562944. Its totient is φ = 7168000.

The previous prime is 27228451. The next prime is 27228491. The reversal of 27228480 is 8482272.

It is a super-2 number, since 2×27228480² = 1482780246220800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 108355 + ... + 108605.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 2^27228480 is an apocalyptic number.

27228480 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 27228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

27228480 is an abundant number, since it is smaller than the sum of its proper divisors (60334464).

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

27228480 is a wasteful number, since it uses less digits than its factorization.

27228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 27228480 is about 5218.0916051752. The cubic root of 27228480 is about 300.8438464075.

The spelling of 27228480 in words is "twenty-seven million, two hundred twenty-eight thousand, four hundred eighty".