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28584738 = 2347213277
BaseRepresentation
bin110110100001…
…0101100100010
31222210020220000
41231002230202
524304202423
62500400430
7464652300
oct155025442
958706800
1028584738
1115154156
1296a6116
135bcaa60
143b21270
152799843
hex1b42b22

28584738 has 120 divisors (see below), whose sum is σ = 80529372. Its totient is φ = 7511616.

The previous prime is 28584737. The next prime is 28584739. The reversal of 28584738 is 83748582.

It is an interprime number because it is at equal distance from previous prime (28584737) and next prime (28584739).

It can be written as a sum of positive squares in 2 ways, for example, as 24770529 + 3814209 = 4977^2 + 1953^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28584693 and 28584702.

It is not an unprimeable number, because it can be changed into a prime (28584737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103056 + ... + 103332.

Almost surely, 228584738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28584738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40264686).

28584738 is an abundant number, since it is smaller than the sum of its proper divisors (51944634).

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

28584738 is a wasteful number, since it uses less digits than its factorization.

28584738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 28584738 is about 5346.4696763378. The cubic root of 28584738 is about 305.7581711037.

The spelling of 28584738 in words is "twenty-eight million, five hundred eighty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 277 294 351 378 441 546 554 567 637 702 819 831 882 1053 1134 1274 1323 1638 1662 1911 1939 2106 2457 2493 2646 3601 3822 3878 3969 4914 4986 5733 5817 7202 7371 7479 7938 10803 11466 11634 13573 14742 14958 17199 17451 21606 22437 25207 27146 32409 34398 34902 40719 44874 50414 51597 52353 64818 75621 81438 97227 103194 104706 122157 151242 157059 176449 194454 226863 244314 291681 314118 352898 366471 453726 529347 583362 680589 732942 1058694 1099413 1361178 1588041 2041767 2198826 3176082 4083534 4764123 9528246 14292369 28584738