28131736752 has 420 divisors, whose sum is σ = 97509852720. Its totient is φ = 7689282048.

The previous prime is 28131736739. The next prime is 28131736753. The reversal of 28131736752 is 25763713182.

28131736752 is a `hidden beast` number, since 281 + 3 + 1 + 7 + 367 + 5 + 2 = 666.

It is a super-2 number, since 2×28131736752² (a number of 22 digits) contains 22 as substring.

Its product of digits (423360) is a multiple of the sum of its prime factors (280).

It is a junction number, because it is equal to n+sod(n) for n = 28131736698 and 28131736707.

It is not an unprimeable number, because it can be changed into a prime (28131736753) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 258089274 + ... + 258089382.

It is an arithmetic number, because the mean of its divisors is an integer number (232166316).

Almost surely, 2^28131736752 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 28131736752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48754926360).

28131736752 is an abundant number, since it is smaller than the sum of its proper divisors (69378115968).

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

28131736752 is an equidigital number, since it uses as much as digits as its factorization.

28131736752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 150 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 28131736752 in words is "twenty-eight billion, one hundred thirty-one million, seven hundred thirty-six thousand, seven hundred fifty-two".