28060345958400 has 2736 divisors, whose sum is σ = 125082295312000. Its totient is φ = 5992989327360.

The previous prime is 28060345958371. The next prime is 28060345958423. The reversal of 28060345958400 is 485954306082.

28060345958400 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 0 + 3 + 4 + 59 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2736).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384388300764 + ... + 384388300836.

Almost surely, 2^{28060345958400} is an apocalyptic number.

28060345958400 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 28060345958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62541147656000).

28060345958400 is an abundant number, since it is smaller than the sum of its proper divisors (97021949353600).

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

28060345958400 is an frugal number, since it uses more digits than its factorization.

28060345958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 28060345958400 in words is "twenty-eight trillion, sixty billion, three hundred forty-five million, nine hundred fifty-eight thousand, four hundred".