28783872000 has 864 divisors, whose sum is σ = 115451383320. Its totient is φ = 6856704000.

The previous prime is 28783871993. The next prime is 28783872017. The reversal of 28783872000 is 27838782.

It can be written as a sum of positive squares in 4 ways, for example, as 3905750016 + 24878121984 = 62496^2 + 157728^2 .

It is a super-2 number, since 2×28783872000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 928511985 + ... + 928512015.

Almost surely, 2^28783872000 is an apocalyptic number.

28783872000 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 28783872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57725691660).

28783872000 is an abundant number, since it is smaller than the sum of its proper divisors (86667511320).

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

28783872000 is a wasteful number, since it uses less digits than its factorization.

28783872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28783872000 in words is "twenty-eight billion, seven hundred eighty-three million, eight hundred seventy-two thousand".