28761580044288 has 3264 divisors, whose sum is σ = 120493046016000. Its totient is φ = 6677902393344.

The previous prime is 28761580044287. The next prime is 28761580044313. The reversal of 28761580044288 is 88244008516782.

28761580044288 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 1 + 580 + 0 + 4 + 42 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28761580044287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 364070633433 + ... + 364070633511.

Almost surely, 2^{28761580044288} is an apocalyptic number.

28761580044288 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 28761580044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60246523008000).

28761580044288 is an abundant number, since it is smaller than the sum of its proper divisors (91731465971712).

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

28761580044288 is a wasteful number, since it uses less digits than its factorization.

28761580044288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 55050240, while the sum is 63.

The spelling of 28761580044288 in words is "twenty-eight trillion, seven hundred sixty-one billion, five hundred eighty million, forty-four thousand, two hundred eighty-eight".