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28340623872 = 293311216943
BaseRepresentation
bin11010011001001110…
…111001101000000000
32201011002212212021000
4122121032321220000
5431020144430442
621004113532000
72022210220401
oct323116715000
981132785230
1028340623872
11110235a8200
1255ab274000
132898670332
14152bcd99a8
15b0d0ebd4c
hex6993b9a00

28340623872 has 240 divisors, whose sum is σ = 92215347840. Its totient is φ = 8587560960.

The previous prime is 28340623813. The next prime is 28340623879. The reversal of 28340623872 is 27832604382.

28340623872 is a `hidden beast` number, since 2 + 8 + 3 + 406 + 238 + 7 + 2 = 666.

It is a super-2 number, since 2×283406238722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28340623879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1664233 + ... + 1681175.

It is an arithmetic number, because the mean of its divisors is an integer number (384230616).

Almost surely, 228340623872 is an apocalyptic number.

28340623872 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 28340623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46107673920).

28340623872 is an abundant number, since it is smaller than the sum of its proper divisors (63874723968).

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

28340623872 is a wasteful number, since it uses less digits than its factorization.

28340623872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16992 (or 16959 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 28340623872 in words is "twenty-eight billion, three hundred forty million, six hundred twenty-three thousand, eight hundred seventy-two".