28017648648900 has 405 divisors, whose sum is σ = 91873376096733. Its totient is φ = 7385877691200.

The previous prime is 28017648648887. The next prime is 28017648648919. The reversal of 28017648648900 is 984684671082.

The square root of 28017648648900 is 5293170.

It is a perfect power (a square), and thus also a powerful number.

28017648648900 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 76 + 4 + 86 + 489 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10086353513604 + 17931295135296 = 3175902^2 + 4234536^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 49067685615 + ... + 49067686185.

Almost surely, 2^{28017648648900} is an apocalyptic number.

28017648648900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28017648648900 is the 5293170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28017648648900

28017648648900 is an abundant number, since it is smaller than the sum of its proper divisors (63855727447833).

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

28017648648900 is an equidigital number, since it uses as much as digits as its factorization.

28017648648900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 28017648648900 in words is "twenty-eight trillion, seventeen billion, six hundred forty-eight million, six hundred forty-eight thousand, nine hundred".