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28217484 = 22341747109
BaseRepresentation
bin110101110100…
…1000010001100
31222002121010000
41223221002030
524210424414
62444444300
7461562501
oct153510214
958077100
1028217484
1114a23239
129549690
135acc849
143a674a8
152725b09
hex1ae908c

28217484 has 120 divisors (see below), whose sum is σ = 80498880. Its totient is φ = 8584704.

The previous prime is 28217477. The next prime is 28217507. The reversal of 28217484 is 48471282.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 258822 + ... + 258930.

It is an arithmetic number, because the mean of its divisors is an integer number (670824).

Almost surely, 228217484 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 28217484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40249440).

28217484 is an abundant number, since it is smaller than the sum of its proper divisors (52281396).

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

28217484 is a wasteful number, since it uses less digits than its factorization.

28217484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 28217484 is about 5312.0131776945. The cubic root of 28217484 is about 304.4430721794.

It can be divided in two parts, 282 and 17484, that added together give a triangular number (17766 = T188).

The spelling of 28217484 in words is "twenty-eight million, two hundred seventeen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 81 94 102 108 109 141 153 162 188 204 218 282 306 324 327 423 436 459 564 612 654 799 846 918 981 1269 1308 1377 1598 1692 1836 1853 1962 2397 2538 2754 2943 3196 3706 3807 3924 4794 5076 5123 5508 5559 5886 7191 7412 7614 8829 9588 10246 11118 11772 14382 15228 15369 16677 17658 20492 21573 22236 28764 30738 33354 35316 43146 46107 50031 61476 64719 66708 86292 87091 92214 100062 129438 138321 150093 174182 184428 200124 258876 261273 276642 300186 348364 414963 522546 553284 600372 783819 829926 1045092 1567638 1659852 2351457 3135276 4702914 7054371 9405828 14108742 28217484