28200960000 has 800 divisors, whose sum is σ = 111476214630. Its totient is φ = 7077888000.

The previous prime is 28200959987. The next prime is 28200960089. The reversal of 28200960000 is 6900282.

It can be written as a sum of positive squares in 5 ways, for example, as 1816805376 + 26384154624 = 42624^2 + 162432^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 4080 × 3600 × 1920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1658879992 + ... + 1658880008.

Almost surely, 2^28200960000 is an apocalyptic number.

28200960000 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 28200960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55738107315).

28200960000 is an abundant number, since it is smaller than the sum of its proper divisors (83275254630).

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

28200960000 is an frugal number, since it uses more digits than its factorization.

28200960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 28200960000 in words is "twenty-eight billion, two hundred million, nine hundred sixty thousand".