28805696640 has 288 divisors, whose sum is σ = 115710751260. Its totient is φ = 6584094720.

The previous prime is 28805696587. The next prime is 28805696669. The reversal of 28805696640 is 4669650882.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28620518976 + 185177664 = 169176^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 231210 + ... + 333270.

Almost surely, 2^28805696640 is an apocalyptic number.

28805696640 is a gapful number since it is divisible by the number (20) 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 28805696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57855375630).

28805696640 is an abundant number, since it is smaller than the sum of its proper divisors (86905054620).

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

28805696640 is a wasteful number, since it uses less digits than its factorization.

28805696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102100 (or 102078 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 28805696640 in words is "twenty-eight billion, eight hundred five million, six hundred ninety-six thousand, six hundred forty".