28787863104 has 1344 divisors, whose sum is σ = 122588121600. Its totient is φ = 6423183360.

The previous prime is 28787863103. The next prime is 28787863177. The reversal of 28787863104 is 40136878782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

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 (28787863103) 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 191 ways as a sum of consecutive naturals, for example, 323459092 + ... + 323459180.

It is an arithmetic number, because the mean of its divisors is an integer number (91211400).

Almost surely, 2^28787863104 is an apocalyptic number.

28787863104 is a gapful number since it is divisible by the number (24) 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 28787863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61294060800).

28787863104 is an abundant number, since it is smaller than the sum of its proper divisors (93800258496).

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

28787863104 is a wasteful number, since it uses less digits than its factorization.

28787863104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 28787863104 in words is "twenty-eight billion, seven hundred eighty-seven million, eight hundred sixty-three thousand, one hundred four".