28519653510666 has 448 divisors, whose sum is σ = 72088299803520. Its totient is φ = 8414473052160.

The previous prime is 28519653510661. The next prime is 28519653510701. The reversal of 28519653510666 is 66601535691582.

It is a happy number.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28519653510661) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13383224421 + ... + 13383226551.

It is an arithmetic number, because the mean of its divisors is an integer number (160911383490).

Almost surely, 2^{28519653510666} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28519653510666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36044149901760).

28519653510666 is an abundant number, since it is smaller than the sum of its proper divisors (43568646292854).

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

28519653510666 is a wasteful number, since it uses less digits than its factorization.

28519653510666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 28519653510666 in words is "twenty-eight trillion, five hundred nineteen billion, six hundred fifty-three million, five hundred ten thousand, six hundred sixty-six".