28677040128 has 144 divisors (see below), whose sum is σ = 90354700800. Its totient is φ = 8689950720.

The previous prime is 28677040127. The next prime is 28677040151. The reversal of 28677040128 is 82104077682.

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 (28677040127) 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, 132033 + ... + 273471.

It is an arithmetic number, because the mean of its divisors is an integer number (627463200).

Almost surely, 2^28677040128 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 28677040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45177350400).

28677040128 is an abundant number, since it is smaller than the sum of its proper divisors (61677660672).

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

28677040128 is a wasteful number, since it uses less digits than its factorization.

28677040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141478 (or 141455 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28677040128 in words is "twenty-eight billion, six hundred seventy-seven million, forty thousand, one hundred twenty-eight".