28765748880 has 240 divisors, whose sum is σ = 105515407296. Its totient is φ = 6965038080.

The previous prime is 28765748857. The next prime is 28765748923. The reversal of 28765748880 is 8884756782.

28765748880 is a `hidden beast` number, since 2 + 8 + 76 + 5 + 7 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8654899 + ... + 8658221.

Almost surely, 2^28765748880 is an apocalyptic number.

28765748880 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 28765748880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52757703648).

28765748880 is an abundant number, since it is smaller than the sum of its proper divisors (76749658416).

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

28765748880 is a wasteful number, since it uses less digits than its factorization.

28765748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 28765748880 in words is "twenty-eight billion, seven hundred sixty-five million, seven hundred forty-eight thousand, eight hundred eighty".