Search a number
-
+
1328595528 = 233132674889
BaseRepresentation
bin100111100110000…
…1100001001001000
310102120222122102210
41033030030021020
510210110024103
6335500225120
744631606231
oct11714141110
93376878383
101328595528
11621a59537
12310b3b1a0
1318233a900
14c8646088
157b98ce03
hex4f30c248

1328595528 has 96 divisors (see below), whose sum is σ = 3651069600. Its totient is φ = 402614784.

The previous prime is 1328595497. The next prime is 1328595563. The reversal of 1328595528 is 8255958231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269308 + ... + 274196.

It is an arithmetic number, because the mean of its divisors is an integer number (38031975).

Almost surely, 21328595528 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 1328595528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825534800).

1328595528 is an abundant number, since it is smaller than the sum of its proper divisors (2322474072).

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

1328595528 is a wasteful number, since it uses less digits than its factorization.

1328595528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4974 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 1328595528 is about 36449.9043620144. The cubic root of 1328595528 is about 1099.3372117465.

The spelling of 1328595528 in words is "one billion, three hundred twenty-eight million, five hundred ninety-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 67 78 104 134 156 169 201 268 312 338 402 507 536 676 804 871 1014 1352 1608 1742 2028 2613 3484 4056 4889 5226 6968 9778 10452 11323 14667 19556 20904 22646 29334 33969 39112 45292 58668 63557 67938 90584 117336 127114 135876 190671 254228 271752 327563 381342 508456 655126 762684 826241 982689 1310252 1525368 1652482 1965378 2478723 2620504 3304964 3930756 4258319 4957446 6609928 7861512 8516638 9914892 12774957 17033276 19829784 25549914 34066552 51099828 55358147 102199656 110716294 166074441 221432588 332148882 442865176 664297764 1328595528