28388961599544 has 1152 divisors, whose sum is σ = 100659124500480. Its totient is φ = 7156545177600.

The previous prime is 28388961599519. The next prime is 28388961599549. The reversal of 28388961599544 is 44599516988382.

28388961599544 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 8 + 9 + 61 + 5 + 9 + 9 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28388961599549) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51899381079 + ... + 51899381625.

It is an arithmetic number, because the mean of its divisors is an integer number (87377712240).

Almost surely, 2^{28388961599544} is an apocalyptic number.

28388961599544 is a gapful number since it is divisible by the number (24) 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 28388961599544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50329562250240).

28388961599544 is an abundant number, since it is smaller than the sum of its proper divisors (72270162900936).

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

28388961599544 is a wasteful number, since it uses less digits than its factorization.

28388961599544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 987 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

The spelling of 28388961599544 in words is "twenty-eight trillion, three hundred eighty-eight billion, nine hundred sixty-one million, five hundred ninety-nine thousand, five hundred forty-four".