28290138336 has 72 divisors (see below), whose sum is σ = 80611713000. Its totient is φ = 9411100416.

The previous prime is 28290138323. The next prime is 28290138337. The reversal of 28290138336 is 63383109282.

28290138336 is a `hidden beast` number, since 28 + 290 + 1 + 3 + 8 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 28290138291 and 28290138300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28290138337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45286 + ... + 242138.

It is an arithmetic number, because the mean of its divisors is an integer number (1119607125).

Almost surely, 2^28290138336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28290138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40305856500).

28290138336 is an abundant number, since it is smaller than the sum of its proper divisors (52321574664).

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

28290138336 is a wasteful number, since it uses less digits than its factorization.

28290138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197368 (or 197357 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 28290138336 in words is "twenty-eight billion, two hundred ninety million, one hundred thirty-eight thousand, three hundred thirty-six".