28662147072 has 144 divisors (see below), whose sum is σ = 89150099220. Its totient is φ = 8819048448.

The previous prime is 28662147011. The next prime is 28662147079. The reversal of 28662147072 is 27074126682.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27934442496 + 727704576 = 167136^2 + 26976^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (28662147079) 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 11 ways as a sum of consecutive naturals, for example, 179808 + ... + 299424.

Almost surely, 2^28662147072 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 28662147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44575049610).

28662147072 is an abundant number, since it is smaller than the sum of its proper divisors (60487952148).

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

28662147072 is a wasteful number, since it uses less digits than its factorization.

28662147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119658 (or 119635 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28662147072 in words is "twenty-eight billion, six hundred sixty-two million, one hundred forty-seven thousand, seventy-two".