28518178768128 has 720 divisors, whose sum is σ = 101673574700544. Its totient is φ = 7780107386880.

The previous prime is 28518178768049. The next prime is 28518178768141. The reversal of 28518178768128 is 82186787181582.

It is a happy number.

28518178768128 is a `hidden beast` number, since 2 + 8 + 518 + 1 + 7 + 8 + 7 + 6 + 81 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 279656926 + ... + 279758882.

Almost surely, 2^{28518178768128} is an apocalyptic number.

28518178768128 is a gapful number since it is divisible by the number (28) 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 28518178768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836787350272).

28518178768128 is an abundant number, since it is smaller than the sum of its proper divisors (73155395932416).

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

28518178768128 is a wasteful number, since it uses less digits than its factorization.

28518178768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102080 (or 102057 counting only the distinct ones).

The product of its digits is 192675840, while the sum is 72.

The spelling of 28518178768128 in words is "twenty-eight trillion, five hundred eighteen billion, one hundred seventy-eight million, seven hundred sixty-eight thousand, one hundred twenty-eight".