28328105635200 has 3456 divisors, whose sum is σ = 130370605747200. Its totient is φ = 6042735820800.

The previous prime is 28328105635189. The next prime is 28328105635241. The reversal of 28328105635200 is 253650182382.

28328105635200 is a `hidden beast` number, since 2 + 8 + 3 + 2 + 8 + 1 + 0 + 5 + 635 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34254057187 + ... + 34254058013.

It is an arithmetic number, because the mean of its divisors is an integer number (37722976200).

Almost surely, 2^{28328105635200} is an apocalyptic number.

28328105635200 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 28328105635200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65185302873600).

28328105635200 is an abundant number, since it is smaller than the sum of its proper divisors (102042500112000).

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

28328105635200 is a wasteful number, since it uses less digits than its factorization.

28328105635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 28328105635200 in words is "twenty-eight trillion, three hundred twenty-eight billion, one hundred five million, six hundred thirty-five thousand, two hundred".