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528101028 = 2232721323029
BaseRepresentation
bin11111011110100…
…010111010100100
31100210201022102100
4133132202322210
52040143213103
6124223012100
716041533100
oct3736427244
91323638370
10528101028
11251110134
12128a3a030
1385543920
14501cc900
15315695a3
hex1f7a2ea4

528101028 has 108 divisors (see below), whose sum is σ = 1672392540. Its totient is φ = 139273344.

The previous prime is 528101009. The next prime is 528101047. The reversal of 528101028 is 820101825.

It is an interprime number because it is at equal distance from previous prime (528101009) and next prime (528101047).

It can be written as a sum of positive squares in 2 ways, for example, as 287913024 + 240188004 = 16968^2 + 15498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 528100992 and 528101010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11418 + ... + 34446.

Almost surely, 2528101028 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 528101028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836196270).

528101028 is an abundant number, since it is smaller than the sum of its proper divisors (1144291512).

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

528101028 is a wasteful number, since it uses less digits than its factorization.

528101028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23066 (or 23054 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 528101028 is about 22980.4488206823. The cubic root of 528101028 is about 808.2995511395.

The spelling of 528101028 in words is "five hundred twenty-eight million, one hundred one thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 23029 46058 69087 92116 138174 161203 207261 276348 299377 322406 414522 483609 598754 644812 829044 898131 967218 1128421 1197508 1450827 1796262 1934436 2095639 2256842 2694393 2901654 3385263 3592524 4191278 4513684 5388786 5803308 6286917 6770526 8382556 10155789 10777572 12573834 13541052 14669473 18860751 20311578 25147668 29338946 37721502 40623156 44008419 58677892 75443004 88016838 132025257 176033676 264050514 528101028