28838269746000 has 960 divisors, whose sum is σ = 122148761978880. Its totient is φ = 6245130240000.

The previous prime is 28838269745963. The next prime is 28838269746001. The reversal of 28838269746000 is 64796283882.

28838269746000 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 82 + 6 + 97 + 460 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28838269746001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79613296 + ... + 79974704.

It is an arithmetic number, because the mean of its divisors is an integer number (127238293728).

Almost surely, 2^{28838269746000} is an apocalyptic number.

28838269746000 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 28838269746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074380989440).

28838269746000 is an abundant number, since it is smaller than the sum of its proper divisors (93310492232880).

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

28838269746000 is a wasteful number, since it uses less digits than its factorization.

28838269746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361493 (or 361474 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 28838269746000 in words is "twenty-eight trillion, eight hundred thirty-eight billion, two hundred sixty-nine million, seven hundred forty-six thousand".