28104753600 has 2016 divisors, whose sum is σ = 139600350720. Its totient is φ = 5419008000.

The previous prime is 28104753581. The next prime is 28104753601. The reversal of 28104753600 is 635740182.

28104753600 is a `hidden beast` number, since 2 + 8 + 1 + 0 + 47 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28104753601) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 395841565 + ... + 395841635.

Almost surely, 2^28104753600 is an apocalyptic number.

28104753600 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 28104753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69800175360).

28104753600 is an abundant number, since it is smaller than the sum of its proper divisors (111495597120).

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

28104753600 is a wasteful number, since it uses less digits than its factorization.

28104753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 28104753600 in words is "twenty-eight billion, one hundred four million, seven hundred fifty-three thousand, six hundred".