28601065200 has 240 divisors, whose sum is σ = 98241569280. Its totient is φ = 7087042560.

The previous prime is 28601065169. The next prime is 28601065247. The reversal of 28601065200 is 256010682.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602727 + ... + 1620473.

It is an arithmetic number, because the mean of its divisors is an integer number (409339872).

Almost surely, 2^28601065200 is an apocalyptic number.

28601065200 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 28601065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49120784640).

28601065200 is an abundant number, since it is smaller than the sum of its proper divisors (69640504080).

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

28601065200 is a wasteful number, since it uses less digits than its factorization.

28601065200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17864 (or 17853 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 28601065200 its reverse (256010682), we get a palindrome (28857075882).

The spelling of 28601065200 in words is "twenty-eight billion, six hundred one million, sixty-five thousand, two hundred".