Search a number
-
+
28009476 = 22341129271
BaseRepresentation
bin110101011011…
…0010000000100
31221201000210000
41222312100010
524132300401
62440201300
7460035165
oct152662004
957630700
1028009476
11148a0a30
129469230
135a58c71
143a1176c
1526d4186
hex1ab6404

28009476 has 120 divisors (see below), whose sum is σ = 82938240. Its totient is φ = 8164800.

The previous prime is 28009463. The next prime is 28009537. The reversal of 28009476 is 67490082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28009476.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103221 + ... + 103491.

It is an arithmetic number, because the mean of its divisors is an integer number (691152).

Almost surely, 228009476 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 28009476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41469120).

28009476 is an abundant number, since it is smaller than the sum of its proper divisors (54928764).

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

28009476 is a wasteful number, since it uses less digits than its factorization.

28009476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28009476 is about 5292.3979442215. The cubic root of 28009476 is about 303.6931489395.

The spelling of 28009476 in words is "twenty-eight million, nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 271 297 319 324 348 396 522 542 594 638 783 813 891 957 1044 1084 1188 1276 1566 1626 1782 1914 2349 2439 2871 2981 3132 3252 3564 3828 4698 4878 5742 5962 7317 7859 8613 8943 9396 9756 11484 11924 14634 15718 17226 17886 21951 23577 25839 26829 29268 31436 34452 35772 43902 47154 51678 53658 70731 80487 86449 87804 94308 103356 107316 141462 160974 172898 212193 241461 259347 282924 321948 345796 424386 482922 518694 636579 778041 848772 965844 1037388 1273158 1556082 2334123 2546316 3112164 4668246 7002369 9336492 14004738 28009476