28493522523648 has 2880 divisors, whose sum is σ = 116182923816960. Its totient is φ = 6794355769344.

The previous prime is 28493522523643. The next prime is 28493522523701. The reversal of 28493522523648 is 84632522539482.

28493522523648 is a `hidden beast` number, since 2 + 8 + 4 + 9 + 352 + 2 + 5 + 236 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28493522523643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 64319463715 + ... + 64319464157.

It is an arithmetic number, because the mean of its divisors is an integer number (40341292992).

Almost surely, 2^{28493522523648} is an apocalyptic number.

28493522523648 is a gapful number since it is divisible by the number (28) 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 28493522523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58091461908480).

28493522523648 is an abundant number, since it is smaller than the sum of its proper divisors (87689401293312).

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

28493522523648 is a wasteful number, since it uses less digits than its factorization.

28493522523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 510 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 63.

The spelling of 28493522523648 in words is "twenty-eight trillion, four hundred ninety-three billion, five hundred twenty-two million, five hundred twenty-three thousand, six hundred forty-eight".