28773628984800 has 576 divisors, whose sum is σ = 118955376368640. Its totient is φ = 6575481538560.

The previous prime is 28773628984783. The next prime is 28773628984811. The reversal of 28773628984800 is 848982637782.

28773628984800 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 3 + 62 + 89 + 8 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 864393757 + ... + 864427043.

It is an arithmetic number, because the mean of its divisors is an integer number (206519750640).

Almost surely, 2^{28773628984800} is an apocalyptic number.

28773628984800 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 28773628984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59477688184320).

28773628984800 is an abundant number, since it is smaller than the sum of its proper divisors (90181747383840).

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

28773628984800 is a wasteful number, since it uses less digits than its factorization.

28773628984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39040 (or 39021 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 28773628984800 in words is "twenty-eight trillion, seven hundred seventy-three billion, six hundred twenty-eight million, nine hundred eighty-four thousand, eight hundred".