28773919260800 has 768 divisors, whose sum is σ = 87732872236800. Its totient is φ = 9103933440000.

The previous prime is 28773919260797. The next prime is 28773919260809. The reversal of 28773919260800 is 806291937782.

It is not an unprimeable number, because it can be changed into a prime (28773919260809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20956968914 + ... + 20956970286.

It is an arithmetic number, because the mean of its divisors is an integer number (114235510725).

Almost surely, 2^{28773919260800} is an apocalyptic number.

28773919260800 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 28773919260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43866436118400).

28773919260800 is an abundant number, since it is smaller than the sum of its proper divisors (58958952976000).

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

28773919260800 is a wasteful number, since it uses less digits than its factorization.

28773919260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 62.

The spelling of 28773919260800 in words is "twenty-eight trillion, seven hundred seventy-three billion, nine hundred nineteen million, two hundred sixty thousand, eight hundred".