28601045403840 has 5376 divisors, whose sum is σ = 141221516083200. Its totient is φ = 5374962302976.

The previous prime is 28601045403829. The next prime is 28601045403863. The reversal of 28601045403840 is 4830454010682.

28601045403840 is a `hidden beast` number, since 2 + 8 + 60 + 1 + 0 + 4 + 540 + 3 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 767 ways as a sum of consecutive naturals, for example, 225205081857 + ... + 225205081983.

It is an arithmetic number, because the mean of its divisors is an integer number (26268883200).

Almost surely, 2^{28601045403840} is an apocalyptic number.

28601045403840 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 28601045403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70610758041600).

28601045403840 is an abundant number, since it is smaller than the sum of its proper divisors (112620470679360).

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

28601045403840 is a wasteful number, since it uses less digits than its factorization.

28601045403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 28601045403840 in words is "twenty-eight trillion, six hundred one billion, forty-five million, four hundred three thousand, eight hundred forty".