28991184768 has 576 divisors, whose sum is σ = 107885746800. Its totient is φ = 7638478848.

The previous prime is 28991184763. The next prime is 28991184823. The reversal of 28991184768 is 86748119982.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28991184763) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28618630 + ... + 28619642.

Almost surely, 2^28991184768 is an apocalyptic number.

28991184768 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 28991184768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53942873400).

28991184768 is an abundant number, since it is smaller than the sum of its proper divisors (78894562032).

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

28991184768 is a wasteful number, since it uses less digits than its factorization.

28991184768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1038 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 28991184768 in words is "twenty-eight billion, nine hundred ninety-one million, one hundred eighty-four thousand, seven hundred sixty-eight".