28892275200 has 360 divisors, whose sum is σ = 109487102868. Its totient is φ = 7250903040.

The previous prime is 28892275147. The next prime is 28892275219. The reversal of 28892275200 is 257229882.

28892275200 is a `hidden beast` number, since 28 + 89 + 2 + 27 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14480752896 + 14411522304 = 120336^2 + 120048^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1951024 + ... + 1965776.

Almost surely, 2^28892275200 is an apocalyptic number.

28892275200 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 28892275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743551434).

28892275200 is an abundant number, since it is smaller than the sum of its proper divisors (80594827668).

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

28892275200 is a wasteful number, since it uses less digits than its factorization.

28892275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14804 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 28892275200 in words is "twenty-eight billion, eight hundred ninety-two million, two hundred seventy-five thousand, two hundred".