28355211253152 has 768 divisors, whose sum is σ = 98821255680000. Its totient is φ = 7741202337792.

The previous prime is 28355211253139. The next prime is 28355211253157. The reversal of 28355211253152 is 25135211255382.

28355211253152 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 52 + 1 + 12 + 531 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28355211253098 and 28355211253107.

It is not an unprimeable number, because it can be changed into a prime (28355211253157) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5232551499 + ... + 5232556917.

It is an arithmetic number, because the mean of its divisors is an integer number (128673510000).

Almost surely, 2^{28355211253152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28355211253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49410627840000).

28355211253152 is an abundant number, since it is smaller than the sum of its proper divisors (70466044426848).

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

28355211253152 is a wasteful number, since it uses less digits than its factorization.

28355211253152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5898 (or 5884 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The spelling of 28355211253152 in words is "twenty-eight trillion, three hundred fifty-five billion, two hundred eleven million, two hundred fifty-three thousand, one hundred fifty-two".