28987641648800 has 72 divisors (see below), whose sum is σ = 73842866316576. Its totient is φ = 11090923754240.

The previous prime is 28987641648793. The next prime is 28987641648857. The reversal of 28987641648800 is 884614678982.

It is a super-3 number, since 3×28987641648800³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787689254 + ... + 787726053.

It is an arithmetic number, because the mean of its divisors is an integer number (1025595365508).

Almost surely, 2^{28987641648800} is an apocalyptic number.

28987641648800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28987641648800 is an abundant number, since it is smaller than the sum of its proper divisors (44855224667776).

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

28987641648800 is a wasteful number, since it uses less digits than its factorization.

28987641648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575415350 (or 1575415337 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 71.

The spelling of 28987641648800 in words is "twenty-eight trillion, nine hundred eighty-seven billion, six hundred forty-one million, six hundred forty-eight thousand, eight hundred".