28433993117184 has 800 divisors, whose sum is σ = 92262896880000. Its totient is φ = 8688747626496.

The previous prime is 28433993117171. The next prime is 28433993117267. The reversal of 28433993117184 is 48171139933482.

28433993117184 is a `hidden beast` number, since 2 + 8 + 4 + 339 + 9 + 3 + 117 + 184 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3693202167 + ... + 3693209865.

It is an arithmetic number, because the mean of its divisors is an integer number (115328621100).

Almost surely, 2^{28433993117184} is an apocalyptic number.

28433993117184 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 28433993117184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46131448440000).

28433993117184 is an abundant number, since it is smaller than the sum of its proper divisors (63828903762816).

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

28433993117184 is a wasteful number, since it uses less digits than its factorization.

28433993117184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7875 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 28433993117184 in words is "twenty-eight trillion, four hundred thirty-three billion, nine hundred ninety-three million, one hundred seventeen thousand, one hundred eighty-four".