28004128992000 has 1728 divisors, whose sum is σ = 117544188303360. Its totient is φ = 6269792256000.

The previous prime is 28004128991999. The next prime is 28004128992023. The reversal of 28004128992000 is 29982140082.

It is a happy number.

28004128992000 is a `hidden beast` number, since 28 + 0 + 0 + 412 + 8 + 9 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25621343454 + ... + 25621344546.

It is an arithmetic number, because the mean of its divisors is an integer number (68023257120).

Almost surely, 2^{28004128992000} is an apocalyptic number.

28004128992000 is a gapful number since it is divisible by the number (20) 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 28004128992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58772094151680).

28004128992000 is an abundant number, since it is smaller than the sum of its proper divisors (89540059311360).

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

28004128992000 is a wasteful number, since it uses less digits than its factorization.

28004128992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 28004128992000 in words is "twenty-eight trillion, four billion, one hundred twenty-eight million, nine hundred ninety-two thousand".