28090350288 has 800 divisors, whose sum is σ = 111312875520. Its totient is φ = 6602757120.

The previous prime is 28090350251. The next prime is 28090350307. The reversal of 28090350288 is 88205309082.

28090350288 is a `hidden beast` number, since 280 + 90 + 3 + 5 + 0 + 288 = 666.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 76540281 + ... + 76540647.

Almost surely, 2^28090350288 is an apocalyptic number.

28090350288 is a gapful number since it is divisible by the number (28) 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 28090350288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55656437760).

28090350288 is an abundant number, since it is smaller than the sum of its proper divisors (83222525232).

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

28090350288 is a wasteful number, since it uses less digits than its factorization.

28090350288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28090350288 in words is "twenty-eight billion, ninety million, three hundred fifty thousand, two hundred eighty-eight".