28988087500800 has 1536 divisors, whose sum is σ = 111756028108800. Its totient is φ = 7357464576000.

The previous prime is 28988087500793. The next prime is 28988087500829. The reversal of 28988087500800 is 800578088982.

It is a tau number, because it is divible by the number of its divisors (1536).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45939916485 + ... + 45939917115.

It is an arithmetic number, because the mean of its divisors is an integer number (72757830800).

Almost surely, 2^{28988087500800} is an apocalyptic number.

28988087500800 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 28988087500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55878014054400).

28988087500800 is an abundant number, since it is smaller than the sum of its proper divisors (82767940608000).

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

28988087500800 is an equidigital number, since it uses as much as digits as its factorization.

28988087500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 28988087500800 in words is "twenty-eight trillion, nine hundred eighty-eight billion, eighty-seven million, five hundred thousand, eight hundred".