28721685845952 has 1008 divisors, whose sum is σ = 98986639175424. Its totient is φ = 7932408422400.

The previous prime is 28721685845939. The next prime is 28721685845969. The reversal of 28721685845952 is 25954858612782.

28721685845952 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 168 + 5 + 8 + 459 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2826098023 + ... + 2826108185.

It is an arithmetic number, because the mean of its divisors is an integer number (98201030928).

Almost surely, 2^{28721685845952} is an apocalyptic number.

28721685845952 is a gapful number since it is divisible by the number (22) 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 28721685845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49493319587712).

28721685845952 is an abundant number, since it is smaller than the sum of its proper divisors (70264953329472).

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

28721685845952 is a wasteful number, since it uses less digits than its factorization.

28721685845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10310 (or 10286 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 72.

It can be divided in two parts, 287216 and 85845952, that added together give a palindrome (86133168).

The spelling of 28721685845952 in words is "twenty-eight trillion, seven hundred twenty-one billion, six hundred eighty-five million, eight hundred forty-five thousand, nine hundred fifty-two".