28677535488000 has 960 divisors, whose sum is σ = 122172894043200. Its totient is φ = 6554832076800.

The previous prime is 28677535487987. The next prime is 28677535488061. The reversal of 28677535488000 is 88453577682.

28677535488000 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 7 + 5 + 3 + 548 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 145053216 + ... + 145250784.

It is an arithmetic number, because the mean of its divisors is an integer number (127263431295).

Almost surely, 2^{28677535488000} is an apocalyptic number.

28677535488000 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 28677535488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61086447021600).

28677535488000 is an abundant number, since it is smaller than the sum of its proper divisors (93495358555200).

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

28677535488000 is an equidigital number, since it uses as much as digits as its factorization.

28677535488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197625 (or 197586 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 28677535488000 in words is "twenty-eight trillion, six hundred seventy-seven billion, five hundred thirty-five million, four hundred eighty-eight thousand".