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28326924288 = 2123313171961
BaseRepresentation
bin11010011000011010…
…101001000000000000
32201010011002211222000
4122120122221000000
5431003143034123
621002504144000
72021652612045
oct323032510000
981104084860
1028326924288
11110168a0533
1255a6768000
132895884880
14152a1711cc
15b0bce2b43
hex6986a9000

28326924288 has 832 divisors, whose sum is σ = 102380947200. Its totient is φ = 7644119040.

The previous prime is 28326924221. The next prime is 28326924289. The reversal of 28326924288 is 88242962382.

28326924288 is a `hidden beast` number, since 2 + 83 + 269 + 24 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (28326924289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 464375778 + ... + 464375838.

Almost surely, 228326924288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28326924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51190473600).

28326924288 is an abundant number, since it is smaller than the sum of its proper divisors (74054022912).

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

28326924288 is a wasteful number, since it uses less digits than its factorization.

28326924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 115 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 28326924288 in words is "twenty-eight billion, three hundred twenty-six million, nine hundred twenty-four thousand, two hundred eighty-eight".