28641081600 has 270 divisors, whose sum is σ = 105901045250. Its totient is φ = 7637483520.

The previous prime is 28641081583. The next prime is 28641081611. The reversal of 28641081600 is 618014682.

28641081600 is a `hidden beast` number, since 2 + 8 + 6 + 41 + 0 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3367713024 + 25273368576 = 58032^2 + 158976^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 29 ways as a sum of consecutive naturals, for example, 490776 + ... + 546024.

Almost surely, 2^28641081600 is an apocalyptic number.

28641081600 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 28641081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52950522625).

28641081600 is an abundant number, since it is smaller than the sum of its proper divisors (77259963650).

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

28641081600 is an equidigital number, since it uses as much as digits as its factorization.

28641081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55287 (or 55259 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 28641081600 in words is "twenty-eight billion, six hundred forty-one million, eighty-one thousand, six hundred".