28787681280 has 768 divisors, whose sum is σ = 105167462400. Its totient is φ = 6688604160.

The previous prime is 28787681231. The next prime is 28787681281. The reversal of 28787681280 is 8218678782.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 28787681280.

It is not an unprimeable number, because it can be changed into a prime (28787681281) 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 63 ways as a sum of consecutive naturals, for example, 669480939 + ... + 669480981.

It is an arithmetic number, because the mean of its divisors is an integer number (136936800).

Almost surely, 2^28787681280 is an apocalyptic number.

28787681280 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 28787681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52583731200).

28787681280 is an abundant number, since it is smaller than the sum of its proper divisors (76379781120).

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

28787681280 is a wasteful number, since it uses less digits than its factorization.

28787681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 57.

The spelling of 28787681280 in words is "twenty-eight billion, seven hundred eighty-seven million, six hundred eighty-one thousand, two hundred eighty".