28310700441600 has 720 divisors, whose sum is σ = 108535691187840. Its totient is φ = 7221215232000.

The previous prime is 28310700441563. The next prime is 28310700441601. The reversal of 28310700441600 is 614400701382.

28310700441600 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 0 + 7 + 0 + 0 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (28310700441601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254305950 + ... + 254417250.

Almost surely, 2^{28310700441600} is an apocalyptic number.

28310700441600 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 28310700441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54267845593920).

28310700441600 is an abundant number, since it is smaller than the sum of its proper divisors (80224990746240).

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

28310700441600 is a wasteful number, since it uses less digits than its factorization.

28310700441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111371 (or 111334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28310700441600 in words is "twenty-eight trillion, three hundred ten billion, seven hundred million, four hundred forty-one thousand, six hundred".