28320402846600 has 1152 divisors, whose sum is σ = 106227111744000. Its totient is φ = 6728673853440.

The previous prime is 28320402846559. The next prime is 28320402846601. The reversal of 28320402846600 is 664820402382.

28320402846600 is a `hidden beast` number, since 2 + 8 + 32 + 0 + 4 + 0 + 2 + 8 + 4 + 6 + 600 = 666.

It is a super-3 number, since 3×28320402846600³ (a number of 41 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28320402846601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14209935204 + ... + 14209937196.

It is an arithmetic number, because the mean of its divisors is an integer number (92211034500).

Almost surely, 2^{28320402846600} is an apocalyptic number.

28320402846600 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 28320402846600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53113555872000).

28320402846600 is an abundant number, since it is smaller than the sum of its proper divisors (77906708897400).

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

28320402846600 is a wasteful number, since it uses less digits than its factorization.

28320402846600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 28320402846600 in words is "twenty-eight trillion, three hundred twenty billion, four hundred two million, eight hundred forty-six thousand, six hundred".