28003968000 has 880 divisors, whose sum is σ = 108653351664. Its totient is φ = 7166361600.

The previous prime is 28003967987. The next prime is 28003968077. The reversal of 28003968000 is 86930082.

It can be written as a sum of positive squares in 8 ways, for example, as 3186376704 + 24817591296 = 56448^2 + 157536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 383615964 + ... + 383616036.

Almost surely, 2^28003968000 is an apocalyptic number.

28003968000 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 28003968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54326675832).

28003968000 is an abundant number, since it is smaller than the sum of its proper divisors (80649383664).

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

28003968000 is an equidigital number, since it uses as much as digits as its factorization.

28003968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 28003968000 in words is "twenty-eight billion, three million, nine hundred sixty-eight thousand".