28781568000 has 560 divisors, whose sum is σ = 107617436784. Its totient is φ = 7652966400.

The previous prime is 28781567993. The next prime is 28781568041. The reversal of 28781568000 is 86518782.

28781568000 is a `hidden beast` number, since 2 + 8 + 7 + 81 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943827 + ... + 82944173.

Almost surely, 2^28781568000 is an apocalyptic number.

28781568000 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 28781568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53808718392).

28781568000 is an abundant number, since it is smaller than the sum of its proper divisors (78835868784).

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

28781568000 is an frugal number, since it uses more digits than its factorization.

28781568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

It can be divided in two parts, 2878 and 1568000, that added together give a triangular number (1570878 = T₁₇₇₂).

The spelling of 28781568000 in words is "twenty-eight billion, seven hundred eighty-one million, five hundred sixty-eight thousand".