27789898272 has 96 divisors (see below), whose sum is σ = 75484664640. Its totient is φ = 8946094080.

The previous prime is 27789898271. The next prime is 27789898273. The reversal of 27789898272 is 27289898772.

It is an interprime number because it is at equal distance from previous prime (27789898271) and next prime (27789898273).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×27789898272³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27789898197 and 27789898206.

It is not an unprimeable number, because it can be changed into a prime (27789898271) by changing a digit.

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, 329572 + ... + 405212.

It is an arithmetic number, because the mean of its divisors is an integer number (786298590).

Almost surely, 2^27789898272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27789898272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37742332320).

27789898272 is an abundant number, since it is smaller than the sum of its proper divisors (47694766368).

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

27789898272 is a wasteful number, since it uses less digits than its factorization.

27789898272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75786 (or 75778 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 69.

The spelling of 27789898272 in words is "twenty-seven billion, seven hundred eighty-nine million, eight hundred ninety-eight thousand, two hundred seventy-two".