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8428329360 = 243251117591061
BaseRepresentation
bin1111101100101111…
…00001100110010000
3210202101101111022200
413312113201212100
5114230123014420
63512200203200
7415601421543
oct76627414620
923671344280
108428329360
113635632660
121772769500
13a441c3149
1459d52485a
15344e07b90
hex1f65e1990

8428329360 has 480 divisors, whose sum is σ = 33280191360. Its totient is φ = 1888665600.

The previous prime is 8428329353. The next prime is 8428329367. The reversal of 8428329360 is 639238248.

8428329360 is a `hidden beast` number, since 8 + 4 + 283 + 2 + 9 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (8428329353) and next prime (8428329367).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8428329367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7943230 + ... + 7944290.

It is an arithmetic number, because the mean of its divisors is an integer number (69333732).

Almost surely, 28428329360 is an apocalyptic number.

8428329360 is a gapful number since it is divisible by the number (80) 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 8428329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16640095680).

8428329360 is an abundant number, since it is smaller than the sum of its proper divisors (24851862000).

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

8428329360 is a wasteful number, since it uses less digits than its factorization.

8428329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8428329360 is about 91805.9331416004. The cubic root of 8428329360 is about 2035.0753762726.

The spelling of 8428329360 in words is "eight billion, four hundred twenty-eight million, three hundred twenty-nine thousand, three hundred sixty".