28048817664 has 480 divisors, whose sum is σ = 96089849856. Its totient is φ = 7710474240.

The previous prime is 28048817627. The next prime is 28048817669. The reversal of 28048817664 is 46671884082.

It is a self number, because there is not a number n which added to its sum of digits gives 28048817664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28048817669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167956909 + ... + 167957075.

Almost surely, 2^28048817664 is an apocalyptic number.

28048817664 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 28048817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48044924928).

28048817664 is an abundant number, since it is smaller than the sum of its proper divisors (68041032192).

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

28048817664 is a wasteful number, since it uses less digits than its factorization.

28048817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28048817664 in words is "twenty-eight billion, forty-eight million, eight hundred seventeen thousand, six hundred sixty-four".