28361290608 has 240 divisors, whose sum is σ = 92179576320. Its totient is φ = 7973116416.

The previous prime is 28361290589. The next prime is 28361290609. The reversal of 28361290608 is 80609216382.

28361290608 is a `hidden beast` number, since 2 + 8 + 36 + 1 + 2 + 9 + 0 + 608 = 666.

It is a super-3 number, since 3×28361290608³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28361290609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17960763 + ... + 17962341.

It is an arithmetic number, because the mean of its divisors is an integer number (384081568).

Almost surely, 2^28361290608 is an apocalyptic number.

28361290608 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 28361290608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46089788160).

28361290608 is an abundant number, since it is smaller than the sum of its proper divisors (63818285712).

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

28361290608 is a wasteful number, since it uses less digits than its factorization.

28361290608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28361290608 in words is "twenty-eight billion, three hundred sixty-one million, two hundred ninety thousand, six hundred eight".