28688655945600 has 5760 divisors, whose sum is σ = 139904695972800. Its totient is φ = 5738822369280.

The previous prime is 28688655945557. The next prime is 28688655945613. The reversal of 28688655945600 is 654955688682.

28688655945600 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 8 + 6 + 5 + 5 + 9 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 719 ways as a sum of consecutive naturals, for example, 263198678346 + ... + 263198678454.

Almost surely, 2^{28688655945600} is an apocalyptic number.

28688655945600 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 28688655945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69952347986400).

28688655945600 is an abundant number, since it is smaller than the sum of its proper divisors (111216040027200).

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

28688655945600 is a wasteful number, since it uses less digits than its factorization.

28688655945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 28688655945600 in words is "twenty-eight trillion, six hundred eighty-eight billion, six hundred fifty-five million, nine hundred forty-five thousand, six hundred".