28869378842880 has 1008 divisors, whose sum is σ = 108753167867904. Its totient is φ = 7330650439680.

The previous prime is 28869378842861. The next prime is 28869378842893. The reversal of 28869378842880 is 8824887396882.

28869378842880 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 9 + 37 + 88 + 428 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 28869378842880.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1622686785 + ... + 1622704575.

It is an arithmetic number, because the mean of its divisors is an integer number (107890047488).

Almost surely, 2^{28869378842880} is an apocalyptic number.

28869378842880 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 28869378842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54376583933952).

28869378842880 is an abundant number, since it is smaller than the sum of its proper divisors (79883789025024).

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

28869378842880 is an equidigital number, since it uses as much as digits as its factorization.

28869378842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17914 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 4756340736, while the sum is 81.

The spelling of 28869378842880 in words is "twenty-eight trillion, eight hundred sixty-nine billion, three hundred seventy-eight million, eight hundred forty-two thousand, eight hundred eighty".