28741438089 has 243 divisors, whose sum is σ = 56766263463. Its totient is φ = 14501174688.

The previous prime is 28741438087. The next prime is 28741438129. The reversal of 28741438089 is 98083414782.

It is a happy number.

The square root of 28741438089 is 169533.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4251692025 + 24489746064 = 65205^2 + 156492^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 28741438089 - 2¹ = 28741438087 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (28741438081) by changing a digit.

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 242 ways as a sum of consecutive naturals, for example, 1249627732 + ... + 1249627754.

Almost surely, 2^28741438089 is an apocalyptic number.

28741438089 is the 169533-rd square number.

28741438089 is the 84767-th centered octagonal number.

It is an amenable number.

28741438089 is a deficient number, since it is larger than the sum of its proper divisors (28024825374).

28741438089 is an frugal number, since it uses more digits than its factorization.

28741438089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 28741438089 in words is "twenty-eight billion, seven hundred forty-one million, four hundred thirty-eight thousand, eighty-nine".