28288599969600 has 672 divisors, whose sum is σ = 103536473241600. Its totient is φ = 7513406208000.

The previous prime is 28288599969569. The next prime is 28288599969611. The reversal of 28288599969600 is 696999588282.

28288599969600 is a `hidden beast` number, since 282 + 8 + 85 + 99 + 96 + 96 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28288599969600.

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, 19023940057 + ... + 19023941543.

It is an arithmetic number, because the mean of its divisors is an integer number (154072132800).

Almost surely, 2^{28288599969600} is an apocalyptic number.

28288599969600 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 28288599969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51768236620800).

28288599969600 is an abundant number, since it is smaller than the sum of its proper divisors (75247873272000).

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

28288599969600 is a wasteful number, since it uses less digits than its factorization.

28288599969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 81.

The spelling of 28288599969600 in words is "twenty-eight trillion, two hundred eighty-eight billion, five hundred ninety-nine million, nine hundred sixty-nine thousand, six hundred".