27298000224 has 288 divisors, whose sum is σ = 86714095104. Its totient is φ = 8075658240.

The previous prime is 27298000183. The next prime is 27298000259. The reversal of 27298000224 is 42200089272.

It is a happy number.

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 (36).

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 47 ways as a sum of consecutive naturals, for example, 61620547 + ... + 61620989.

It is an arithmetic number, because the mean of its divisors is an integer number (301090608).

Almost surely, 2^27298000224 is an apocalyptic number.

27298000224 is a gapful number since it is divisible by the number (24) 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 27298000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43357047552).

27298000224 is an abundant number, since it is smaller than the sum of its proper divisors (59416094880).

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

27298000224 is a wasteful number, since it uses less digits than its factorization.

27298000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 27298000224 its reverse (42200089272), we get a palindrome (69498089496).

The spelling of 27298000224 in words is "twenty-seven billion, two hundred ninety-eight million, two hundred twenty-four", and thus it is an aban number.