28406311200000 has 1296 divisors, whose sum is σ = 108456640830720. Its totient is φ = 7411461120000.

The previous prime is 28406311199993. The next prime is 28406311200019. The reversal of 28406311200000 is 211360482.

28406311200000 is a `hidden beast` number, since 2 + 8 + 4 + 0 + 631 + 1 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×28406311200000³ (a number of 41 digits) contains 333 as substring.

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

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, 9136798446 + ... + 9136801554.

Almost surely, 2^{28406311200000} is an apocalyptic number.

28406311200000 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 28406311200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54228320415360).

28406311200000 is an abundant number, since it is smaller than the sum of its proper divisors (80050329630720).

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

28406311200000 is an frugal number, since it uses more digits than its factorization.

28406311200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 28406311200000 its reverse (211360482), we get a palindrome (28406522560482).

The spelling of 28406311200000 in words is "twenty-eight trillion, four hundred six billion, three hundred eleven million, two hundred thousand".