28703808000 has 1200 divisors, whose sum is σ = 125477341704. Its totient is φ = 6502809600.

The previous prime is 28703807989. The next prime is 28703808011. The reversal of 28703808000 is 80830782.

It is an interprime number because it is at equal distance from previous prime (28703807989) and next prime (28703808011).

It can be written as a sum of positive squares in 4 ways, for example, as 1708003584 + 26995804416 = 41328^2 + 164304^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254015944 + ... + 254016056.

Almost surely, 2^28703808000 is an apocalyptic number.

28703808000 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 28703808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62738670852).

28703808000 is an abundant number, since it is smaller than the sum of its proper divisors (96773533704).

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

28703808000 is an equidigital number, since it uses as much as digits as its factorization.

28703808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 28703808000 in words is "twenty-eight billion, seven hundred three million, eight hundred eight thousand".