28251039086361 has 432 divisors, whose sum is σ = 55367642650320. Its totient is φ = 13751822407680.

The previous prime is 28251039086351. The next prime is 28251039086363. The reversal of 28251039086361 is 16368093015282.

28251039086361 is a `hidden beast` number, since 2 + 8 + 2 + 510 + 3 + 9 + 0 + 8 + 63 + 61 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4043960121600 + 24207078964761 = 2010960^2 + 4920069^2 .

It is not a de Polignac number, because 28251039086361 - 2⁶ = 28251039086297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28251039086298 and 28251039086307.

It is not an unprimeable number, because it can be changed into a prime (28251039086363) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 13760855811 + ... + 13760857863.

Almost surely, 2^{28251039086361} is an apocalyptic number.

28251039086361 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

28251039086361 is a deficient number, since it is larger than the sum of its proper divisors (27116603563959).

28251039086361 is a wasteful number, since it uses less digits than its factorization.

28251039086361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28251039086361 in words is "twenty-eight trillion, two hundred fifty-one billion, thirty-nine million, eighty-six thousand, three hundred sixty-one".