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3528138328 = 23112132511117
BaseRepresentation
bin1101001001001011…
…0001111001011000
3100002212210222220221
43102102301321120
524211200411303
61342032125424
7153300452401
oct32222617130
910085728827
103528138328
1115505a6600
12825696874
13442c3c120
142568049a8
15159b194bd
hexd24b1e58

3528138328 has 96 divisors (see below), whose sum is σ = 7868886480. Its totient is φ = 1473120000.

The previous prime is 3528138323. The next prime is 3528138343. The reversal of 3528138328 is 8238318253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528138323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3158026 + ... + 3159142.

Almost surely, 23528138328 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 3528138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934443240).

3528138328 is an abundant number, since it is smaller than the sum of its proper divisors (4340748152).

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

3528138328 is a wasteful number, since it uses less digits than its factorization.

3528138328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1394 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 3528138328 is about 59398.1340447661. The cubic root of 3528138328 is about 1522.3524181282.

The spelling of 3528138328 in words is "three billion, five hundred twenty-eight million, one hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 251 286 484 502 572 968 1004 1117 1144 1573 2008 2234 2761 3146 3263 4468 5522 6292 6526 8936 11044 12287 12584 13052 14521 22088 24574 26104 29042 30371 35893 49148 58084 60742 71786 98296 116168 121484 135157 143572 159731 242968 270314 280367 287144 319462 394823 540628 560734 638924 789646 1081256 1121468 1277848 1579292 1757041 2242936 3084037 3158584 3514082 3644771 6168074 7028164 7289542 12336148 14056328 14579084 24672296 29158168 33924407 40092481 67848814 80184962 135697628 160369924 271395256 320739848 441017291 882034582 1764069164 3528138328