28505668464900 has 405 divisors, whose sum is σ = 101586997017583. Its totient is φ = 6909183705600.

The previous prime is 28505668464881. The next prime is 28505668464919. The reversal of 28505668464900 is 946486650582.

The square root of 28505668464900 is 5339070.

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

28505668464900 is a `hidden beast` number, since 2 + 8 + 5 + 0 + 5 + 66 + 84 + 6 + 490 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28505668464881) and next prime (28505668464919).

It can be written as a sum of positive squares in 4 ways, for example, as 4850363141316 + 23655305323584 = 2202354^2 + 4863672^2 .

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, 5285676604 + ... + 5285681996.

Almost surely, 2^{28505668464900} is an apocalyptic number.

28505668464900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28505668464900 is the 5339070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28505668464900

28505668464900 is an abundant number, since it is smaller than the sum of its proper divisors (73081328552683).

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

28505668464900 is an equidigital number, since it uses as much as digits as its factorization.

28505668464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 28505668464900 in words is "twenty-eight trillion, five hundred five billion, six hundred sixty-eight million, four hundred sixty-four thousand, nine hundred".