28766900736 has 640 divisors, whose sum is σ = 101822054400. Its totient is φ = 7849820160.

The previous prime is 28766900731. The next prime is 28766900737. The reversal of 28766900736 is 63700966782.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28766900731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364137945 + ... + 364138023.

It is an arithmetic number, because the mean of its divisors is an integer number (159096960).

Almost surely, 2^28766900736 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 28766900736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50911027200).

28766900736 is an abundant number, since it is smaller than the sum of its proper divisors (73055153664).

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

28766900736 is an equidigital number, since it uses as much as digits as its factorization.

28766900736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 28766900736 in words is "twenty-eight billion, seven hundred sixty-six million, nine hundred thousand, seven hundred thirty-six".