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28351008 = 25327441
BaseRepresentation
bin110110000100…
…1101000100000
31222100101021100
41230021220200
524224213013
62451354400
7462660000
oct154115040
958311240
1028351008
1115004594
1295b2a00
135b4855a
143aa0000
152750473
hex1b09a20

28351008 has 180 divisors, whose sum is σ = 96348798. Its totient is φ = 7902720.

The previous prime is 28351007. The next prime is 28351027. The reversal of 28351008 is 80015382.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28005264 + 345744 = 5292^2 + 588^2 .

It is not an unprimeable number, because it can be changed into a prime (28351007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691468 + ... + 691508.

Almost surely, 228351008 is an apocalyptic number.

28351008 is a gapful number since it is divisible by the number (28) 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 28351008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48174399).

28351008 is an abundant number, since it is smaller than the sum of its proper divisors (67997790).

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

28351008 is an equidigital number, since it uses as much as digits as its factorization.

28351008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28351008 is about 5324.5664612248. The cubic root of 28351008 is about 304.9225208553.

The spelling of 28351008 in words is "twenty-eight million, three hundred fifty-one thousand, eight".