28253132528544 has 768 divisors, whose sum is σ = 104500730880000. Its totient is φ = 7213241548800.

The previous prime is 28253132528521. The next prime is 28253132528563. The reversal of 28253132528544 is 44582523135282.

28253132528544 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 31 + 32 + 528 + 54 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 1591806582 + ... + 1591824330.

It is an arithmetic number, because the mean of its divisors is an integer number (136068660000).

Almost surely, 2^{28253132528544} is an apocalyptic number.

28253132528544 is a gapful number since it is divisible by the number (24) 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 28253132528544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52250365440000).

28253132528544 is an abundant number, since it is smaller than the sum of its proper divisors (76247598351456).

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

28253132528544 is a wasteful number, since it uses less digits than its factorization.

28253132528544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18194 (or 18180 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 28253132528544 in words is "twenty-eight trillion, two hundred fifty-three billion, one hundred thirty-two million, five hundred twenty-eight thousand, five hundred forty-four".