28788909600 has 288 divisors, whose sum is σ = 103673364480. Its totient is φ = 6880384000.

The previous prime is 28788909599. The next prime is 28788909701. The reversal of 28788909600 is 690988782.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1866721 + ... + 1882079.

It is an arithmetic number, because the mean of its divisors is an integer number (359976960).

Almost surely, 2^28788909600 is an apocalyptic number.

28788909600 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 28788909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51836682240).

28788909600 is an abundant number, since it is smaller than the sum of its proper divisors (74884454880).

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

28788909600 is a wasteful number, since it uses less digits than its factorization.

28788909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 28788909600 in words is "twenty-eight billion, seven hundred eighty-eight million, nine hundred nine thousand, six hundred".