28833643472832 has 784 divisors, whose sum is σ = 95002692595200. Its totient is φ = 8606016460800.

The previous prime is 28833643472797. The next prime is 28833643472833. The reversal of 28833643472832 is 23827434633882.

28833643472832 is a `hidden beast` number, since 2 + 8 + 8 + 3 + 3 + 6 + 4 + 347 + 283 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28833643472832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28833643472833) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10519386982 + ... + 10519389722.

Almost surely, 2^{28833643472832} is an apocalyptic number.

28833643472832 is a gapful number since it is divisible by the number (22) 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 28833643472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47501346297600).

28833643472832 is an abundant number, since it is smaller than the sum of its proper divisors (66169049122368).

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

28833643472832 is a wasteful number, since it uses less digits than its factorization.

28833643472832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3059 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 28833643472832 in words is "twenty-eight trillion, eight hundred thirty-three billion, six hundred forty-three million, four hundred seventy-two thousand, eight hundred thirty-two".