28200960 has 260 divisors, whose sum is σ = 107039988. Its totient is φ = 7077888.

The previous prime is 28200947. The next prime is 28200961. The reversal of 28200960 is 6900282.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 11943936 = 4032^2 + 3456^2 .

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

It is a nialpdrome in base 12.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 408 × 360 × 192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28200961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658872 + ... + 1658888.

Almost surely, 2^28200960 is an apocalyptic number.

28200960 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 28200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53519994).

28200960 is an abundant number, since it is smaller than the sum of its proper divisors (78839028).

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

28200960 is an equidigital number, since it uses as much as digits as its factorization.

28200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

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

The square root of 28200960 is about 5310.4576074007. The cubic root of 28200960 is about 304.3836338585.

The spelling of 28200960 in words is "twenty-eight million, two hundred thousand, nine hundred sixty".