28280928000 has 1152 divisors, whose sum is σ = 113138049024. Its totient is φ = 6193152000.

The previous prime is 28280927981. The next prime is 28280928037. The reversal of 28280928000 is 82908282.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 28280928000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 657695979 + ... + 657696021.

It is an arithmetic number, because the mean of its divisors is an integer number (98210112).

Almost surely, 2^28280928000 is an apocalyptic number.

28280928000 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 28280928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56569024512).

28280928000 is an abundant number, since it is smaller than the sum of its proper divisors (84857121024).

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

28280928000 is a wasteful number, since it uses less digits than its factorization.

28280928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 28280928000 in words is "twenty-eight billion, two hundred eighty million, nine hundred twenty-eight thousand".