28348185600 has 1386 divisors, whose sum is σ = 126509905824. Its totient is φ = 6270566400.

The previous prime is 28348185599. The next prime is 28348185617. The reversal of 28348185600 is 658184382.

28348185600 is a `hidden beast` number, since 2 + 8 + 3 + 4 + 81 + 8 + 560 + 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 (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 914457585 + ... + 914457615.

Almost surely, 2^28348185600 is an apocalyptic number.

28348185600 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 28348185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63254952912).

28348185600 is an abundant number, since it is smaller than the sum of its proper divisors (98161720224).

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

28348185600 is an equidigital number, since it uses as much as digits as its factorization.

28348185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28348185600 in words is "twenty-eight billion, three hundred forty-eight million, one hundred eighty-five thousand, six hundred".