28083088800 has 1440 divisors, whose sum is σ = 122198397552. Its totient is φ = 6210846720.

The previous prime is 28083088799. The next prime is 28083088801. The reversal of 28083088800 is 888038082.

It is an interprime number because it is at equal distance from previous prime (28083088799) and next prime (28083088801).

It can be written as a sum of positive squares in 24 ways, for example, as 647804304 + 27435284496 = 25452^2 + 165636^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (28083088801) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 529869574 + ... + 529869626.

Almost surely, 2^28083088800 is an apocalyptic number.

28083088800 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 28083088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61099198776).

28083088800 is an abundant number, since it is smaller than the sum of its proper divisors (94115308752).

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

28083088800 is a wasteful number, since it uses less digits than its factorization.

28083088800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 28083088800 in words is "twenty-eight billion, eighty-three million, eighty-eight thousand, eight hundred".