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28538172 = 223213172211
BaseRepresentation
bin110110011011…
…1010100111100
31222200220000100
41230313110330
524301210142
62455401100
7464366445
oct154672474
958626010
1028538172
1115122173
129683190
135bb27c0
143b0c2cc
15278ab4c
hex1b3753c

28538172 has 108 divisors (see below), whose sum is σ = 82917016. Its totient is φ = 8225280.

The previous prime is 28538161. The next prime is 28538183. The reversal of 28538172 is 27183582.

It is an interprime number because it is at equal distance from previous prime (28538161) and next prime (28538183).

It is a super-2 number, since 2×285381722 = 1628854522203168, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135147 + ... + 135357.

Almost surely, 228538172 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 28538172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41458508).

28538172 is an abundant number, since it is smaller than the sum of its proper divisors (54378844).

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

28538172 is a wasteful number, since it uses less digits than its factorization.

28538172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 246 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 28538172 is about 5342.1130650708. The cubic root of 28538172 is about 305.5920489648.

It can be divided in two parts, 2853 and 8172, that added together give a square (11025 = 1052).

The spelling of 28538172 in words is "twenty-eight million, five hundred thirty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 211 221 234 289 306 422 442 468 578 612 633 663 844 867 884 1156 1266 1326 1734 1899 1989 2532 2601 2652 2743 3468 3587 3757 3798 3978 5202 5486 7174 7514 7596 7956 8229 10404 10761 10972 11271 14348 15028 16458 21522 22542 24687 32283 32916 33813 43044 45084 46631 49374 60979 64566 67626 93262 98748 121958 129132 135252 139893 182937 186524 243916 279786 365874 419679 548811 559572 731748 792727 839358 1097622 1585454 1678716 2195244 2378181 3170908 4756362 7134543 9512724 14269086 28538172