28188649832112 has 1280 divisors, whose sum is σ = 105246978048000. Its totient is φ = 7013434982400.

The previous prime is 28188649832059. The next prime is 28188649832129. The reversal of 28188649832112 is 21123894688182.

28188649832112 is a `hidden beast` number, since 2 + 81 + 88 + 64 + 98 + 321 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28188649832112.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12401516608 + ... + 12401518880.

It is an arithmetic number, because the mean of its divisors is an integer number (82224201600).

Almost surely, 2^{28188649832112} is an apocalyptic number.

28188649832112 is a gapful number since it is divisible by the number (22) 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 28188649832112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52623489024000).

28188649832112 is an abundant number, since it is smaller than the sum of its proper divisors (77058328215888).

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

28188649832112 is a wasteful number, since it uses less digits than its factorization.

28188649832112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2515 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 63.

The spelling of 28188649832112 in words is "twenty-eight trillion, one hundred eighty-eight billion, six hundred forty-nine million, eight hundred thirty-two thousand, one hundred twelve".