28600311600 has 480 divisors, whose sum is σ = 117165120000. Its totient is φ = 6490782720.

The previous prime is 28600311557. The next prime is 28600311601. The reversal of 28600311600 is 611300682.

28600311600 is a `hidden beast` number, since 28 + 6 + 0 + 0 + 31 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28600311601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11263131 + ... + 11265669.

It is an arithmetic number, because the mean of its divisors is an integer number (244094000).

Almost surely, 2^28600311600 is an apocalyptic number.

28600311600 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 28600311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58582560000).

28600311600 is an abundant number, since it is smaller than the sum of its proper divisors (88564808400).

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

28600311600 is a wasteful number, since it uses less digits than its factorization.

28600311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 28600311600 in words is "twenty-eight billion, six hundred million, three hundred eleven thousand, six hundred".