27228683520 has 288 divisors, whose sum is σ = 97856908800. Its totient is φ = 7168352256.

The previous prime is 27228683497. The next prime is 27228683543. The reversal of 27228683520 is 2538682272.

It is a happy number.

27228683520 is a `hidden beast` number, since 27 + 2 + 28 + 6 + 83 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (27228683497) and next prime (27228683543).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2725254 + ... + 2735226.

Almost surely, 2^27228683520 is an apocalyptic number.

27228683520 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 27228683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48928454400).

27228683520 is an abundant number, since it is smaller than the sum of its proper divisors (70628225280).

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

27228683520 is an equidigital number, since it uses as much as digits as its factorization.

27228683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10082 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 27228683520 in words is "twenty-seven billion, two hundred twenty-eight million, six hundred eighty-three thousand, five hundred twenty".