28732631040000 has 1200 divisors, whose sum is σ = 107777122031040. Its totient is φ = 7656062976000.

The previous prime is 28732631039989. The next prime is 28732631040041. The reversal of 28732631040000 is 4013623782.

It is a happy number.

28732631040000 is a `hidden beast` number, since 287 + 3 + 26 + 310 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22394879359 + ... + 22394880641.

Almost surely, 2^{28732631040000} is an apocalyptic number.

28732631040000 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 28732631040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53888561015520).

28732631040000 is an abundant number, since it is smaller than the sum of its proper divisors (79044490991040).

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

28732631040000 is an frugal number, since it uses more digits than its factorization.

28732631040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 28732631040000 its reverse (4013623782), we get a palindrome (28736644663782).

The spelling of 28732631040000 in words is "twenty-eight trillion, seven hundred thirty-two billion, six hundred thirty-one million, forty thousand".