28333138680 has 576 divisors, whose sum is σ = 117749998080. Its totient is φ = 5842368000.

The previous prime is 28333138627. The next prime is 28333138681. The reversal of 28333138680 is 8683133382.

28333138680 is a `hidden beast` number, since 283 + 331 + 38 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×28333138680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28333138681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29299557 + ... + 29300523.

It is an arithmetic number, because the mean of its divisors is an integer number (204427080).

Almost surely, 2^28333138680 is an apocalyptic number.

28333138680 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 28333138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58874999040).

28333138680 is an abundant number, since it is smaller than the sum of its proper divisors (89416859400).

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

28333138680 is a wasteful number, since it uses less digits than its factorization.

28333138680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 28333138680 in words is "twenty-eight billion, three hundred thirty-three million, one hundred thirty-eight thousand, six hundred eighty".