28141379136 has 168 divisors, whose sum is σ = 89863071480. Its totient is φ = 8360239104.

The previous prime is 28141379117. The next prime is 28141379171. The reversal of 28141379136 is 63197314182.

28141379136 is a `hidden beast` number, since 2 + 8 + 141 + 379 + 136 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78428736 + 28062950400 = 8856^2 + 167520^2 .

It is a super-2 number, since 2×28141379136² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28141379091 and 28141379100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 152356 + ... + 281948.

It is an arithmetic number, because the mean of its divisors is an integer number (534899235).

Almost surely, 2^28141379136 is an apocalyptic number.

28141379136 is a gapful number since it is divisible by the number (26) 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 28141379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44931535740).

28141379136 is an abundant number, since it is smaller than the sum of its proper divisors (61721692344).

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

28141379136 is a wasteful number, since it uses less digits than its factorization.

28141379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129653 (or 129640 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 28141379136 in words is "twenty-eight billion, one hundred forty-one million, three hundred seventy-nine thousand, one hundred thirty-six".