28382793660 has 288 divisors, whose sum is σ = 98505231552. Its totient is φ = 6815508480.

The previous prime is 28382793653. The next prime is 28382793697. The reversal of 28382793660 is 6639728382.

It is a happy number.

28382793660 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 279 + 366 + 0 = 666.

It is a super-2 number, since 2×28382793660² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28382793597 and 28382793606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2584902 + ... + 2595858.

It is an arithmetic number, because the mean of its divisors is an integer number (342032054).

Almost surely, 2^28382793660 is an apocalyptic number.

28382793660 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 28382793660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49252615776).

28382793660 is an abundant number, since it is smaller than the sum of its proper divisors (70122437892).

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

28382793660 is a wasteful number, since it uses less digits than its factorization.

28382793660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 11021 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 28382793660 in words is "twenty-eight billion, three hundred eighty-two million, seven hundred ninety-three thousand, six hundred sixty".