28880205760 has 224 divisors, whose sum is σ = 82872437760. Its totient is φ = 9372008448.

The previous prime is 28880205733. The next prime is 28880205763. The reversal of 28880205760 is 6750208882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 28880205760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28880205763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4994551 + ... + 5000329.

It is an arithmetic number, because the mean of its divisors is an integer number (369966240).

Almost surely, 2^28880205760 is an apocalyptic number.

28880205760 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 28880205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41436218880).

28880205760 is an abundant number, since it is smaller than the sum of its proper divisors (53992232000).

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

28880205760 is a wasteful number, since it uses less digits than its factorization.

28880205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 28880205760 in words is "twenty-eight billion, eight hundred eighty million, two hundred five thousand, seven hundred sixty".