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1328084856 = 233371078209
BaseRepresentation
bin100111100101000…
…1111011101111000
310102120000200221000
41033022033131320
510204442203411
6335441245000
744624351340
oct11712173570
93376020830
101328084856
1162173a89a
12310933760
131821bc337
14c8551d20
157b8db956
hex4f28f778

1328084856 has 128 divisors (see below), whose sum is σ = 4256064000. Its totient is φ = 375860736.

The previous prime is 1328084809. The next prime is 1328084861. The reversal of 1328084856 is 6584808231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157680 + ... + 165888.

It is an arithmetic number, because the mean of its divisors is an integer number (33250500).

Almost surely, 21328084856 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 1328084856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128032000).

1328084856 is an abundant number, since it is smaller than the sum of its proper divisors (2927979144).

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

1328084856 is a wasteful number, since it uses less digits than its factorization.

1328084856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1328084856 is about 36442.8985674850. The cubic root of 1328084856 is about 1099.1963430210.

The spelling of 1328084856 in words is "one billion, three hundred twenty-eight million, eighty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 107 108 126 168 189 214 216 252 321 378 428 504 642 749 756 856 963 1284 1498 1512 1926 2247 2568 2889 2996 3852 4494 5778 5992 6741 7704 8209 8988 11556 13482 16418 17976 20223 23112 24627 26964 32836 40446 49254 53928 57463 65672 73881 80892 98508 114926 147762 161784 172389 197016 221643 229852 295524 344778 443286 459704 517167 591048 689556 878363 886572 1034334 1379112 1551501 1756726 1773144 2068668 2635089 3103002 3513452 4137336 5270178 6148541 6206004 7026904 7905267 10540356 12297082 12412008 15810534 18445623 21080712 23715801 24594164 31621068 36891246 47431602 49188328 55336869 63242136 73782492 94863204 110673738 147564984 166010607 189726408 221347476 332021214 442694952 664042428 1328084856