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28131012 = 223271331277
BaseRepresentation
bin110101101001…
…1111011000100
31221221012111100
41223103323010
524200143022
62442540100
7461052420
oct153237304
957835440
1028131012
1114974278
129507630
135a9c390
143a43b80
15270a1ac
hex1ad3ec4

28131012 has 144 divisors (see below), whose sum is σ = 90668032. Its totient is φ = 7153920.

The previous prime is 28130953. The next prime is 28131013. The reversal of 28131012 is 21013182.

It is a super-2 number, since 2×281310122 = 1582707672288288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (28131013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101418 + ... + 101694.

Almost surely, 228131012 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 28131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45334016).

28131012 is an abundant number, since it is smaller than the sum of its proper divisors (62537020).

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

28131012 is a wasteful number, since it uses less digits than its factorization.

28131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 28131012 is about 5303.8676454075. The cubic root of 28131012 is about 304.1317670932.

Adding to 28131012 its reverse (21013182), we get a palindrome (49144194).

The spelling of 28131012 in words is "twenty-eight million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 277 279 364 372 403 434 468 546 554 558 651 806 819 831 868 1092 1108 1116 1209 1302 1612 1638 1662 1939 1953 2418 2493 2604 2821 3276 3324 3601 3627 3878 3906 4836 4986 5642 5817 7202 7254 7756 7812 8463 8587 9972 10803 11284 11634 14404 14508 16926 17174 17451 21606 23268 25207 25389 25761 32409 33852 34348 34902 43212 50414 50778 51522 60109 64818 69804 75621 77283 100828 101556 103044 111631 120218 129636 151242 154566 180327 223262 226863 240436 302484 309132 334893 360654 446524 453726 540981 669786 721308 781417 907452 1004679 1081962 1339572 1562834 2009358 2163924 2344251 3125668 4018716 4688502 7032753 9377004 14065506 28131012