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1328303728 = 24233739677
BaseRepresentation
bin100111100101100…
…0100111001110000
310102120102211011101
41033023010321300
510210021204403
6335450054144
744626252423
oct11713047160
93376384141
101328303728
1162187a284
12310a1a354
13182267b4b
14c85ab9ba
157b93171d
hex4f2c4e70

1328303728 has 40 divisors (see below), whose sum is σ = 2692961568. Its totient is φ = 633507072.

The previous prime is 1328303723. The next prime is 1328303747. The reversal of 1328303728 is 8273038231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328303723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132426 + ... + 142102.

Almost surely, 21328303728 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 1328303728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346480784).

1328303728 is an abundant number, since it is smaller than the sum of its proper divisors (1364657840).

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

1328303728 is a wasteful number, since it uses less digits than its factorization.

1328303728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10081 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 1328303728 is about 36445.9013882220. The cubic root of 1328303728 is about 1099.2567232208.

The spelling of 1328303728 in words is "one billion, three hundred twenty-eight million, three hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 373 746 1492 2984 5968 8579 9677 17158 19354 34316 38708 68632 77416 137264 154832 222571 445142 890284 1780568 3561136 3609521 7219042 14438084 28876168 57752336 83018983 166037966 332075932 664151864 1328303728