Search a number
-
+
28824016896 = 21132832227
BaseRepresentation
bin11010110110000010…
…111001100000000000
32202101210110202211100
4122312002321200000
5433012422020041
621124102414400
72040200046453
oct326602714000
982353422740
1028824016896
1111251451574
125705131400
13294485c4cc
1415761ab49a
15b3a7846b6
hex6b60b9800

28824016896 has 216 divisors, whose sum is σ = 84635345340. Its totient is φ = 9450430464.

The previous prime is 28824016849. The next prime is 28824016909. The reversal of 28824016896 is 69861042882.

It is a super-3 number, since 3×288240168963 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126977935 + ... + 126978161.

Almost surely, 228824016896 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 28824016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42317672670).

28824016896 is an abundant number, since it is smaller than the sum of its proper divisors (55811328444).

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

28824016896 is an equidigital number, since it uses as much as digits as its factorization.

28824016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 28824016896 in words is "twenty-eight billion, eight hundred twenty-four million, sixteen thousand, eight hundred ninety-six".