28161259776 has 216 divisors, whose sum is σ = 87702746040. Its totient is φ = 8639152128.

The previous prime is 28161259769. The next prime is 28161259801. The reversal of 28161259776 is 67795216182.

28161259776 is a `hidden beast` number, since 28 + 16 + 12 + 597 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3675269376 + 24485990400 = 60624^2 + 156480^2 .

It is a super-3 number, since 3×28161259776³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11650120 + ... + 11652536.

Almost surely, 2^28161259776 is an apocalyptic number.

28161259776 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 28161259776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43851373020).

28161259776 is an abundant number, since it is smaller than the sum of its proper divisors (59541486264).

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

28161259776 is a wasteful number, since it uses less digits than its factorization.

28161259776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2824 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 28161259776 in words is "twenty-eight billion, one hundred sixty-one million, two hundred fifty-nine thousand, seven hundred seventy-six".