28398565353600 has 1536 divisors, whose sum is σ = 119436834720000. Its totient is φ = 6531421962240.

The previous prime is 28398565353461. The next prime is 28398565353607. The reversal of 28398565353600 is 635356589382.

28398565353600 is a `hidden beast` number, since 2 + 8 + 3 + 9 + 8 + 565 + 3 + 5 + 3 + 60 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (28398565353607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1557869286 + ... + 1557887514.

Almost surely, 2^{28398565353600} is an apocalyptic number.

28398565353600 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 28398565353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59718417360000).

28398565353600 is an abundant number, since it is smaller than the sum of its proper divisors (91038269366400).

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

28398565353600 is a wasteful number, since it uses less digits than its factorization.

28398565353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18367 (or 18344 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 28398565353600 in words is "twenty-eight trillion, three hundred ninety-eight billion, five hundred sixty-five million, three hundred fifty-three thousand, six hundred".