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28916352 = 27342789
BaseRepresentation
bin110111001001…
…1101010000000
32000102002210000
41232103222000
524400310402
62511440000
7500533143
oct156235200
960362700
1028916352
1115360313
129826000
135cb598a
143baa05a
152812c1c
hex1b93a80

28916352 has 80 divisors (see below), whose sum is σ = 86085450. Its totient is φ = 9635328.

The previous prime is 28916333. The next prime is 28916369. The reversal of 28916352 is 25361982.

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 5645376 = 4824^2 + 2376^2 .

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 9 ways as a sum of consecutive naturals, for example, 8974 + ... + 11762.

Almost surely, 228916352 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 28916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43042725).

28916352 is an abundant number, since it is smaller than the sum of its proper divisors (57169098).

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

28916352 is an equidigital number, since it uses as much as digits as its factorization.

28916352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2794 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 28916352 is about 5377.3926767533. The cubic root of 28916352 is about 306.9360036650.

It can be divided in two parts, 289 and 16352, that added together give a square (16641 = 1292).

The spelling of 28916352 in words is "twenty-eight million, nine hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 2789 3456 5184 5578 8367 10368 11156 16734 22312 25101 33468 44624 50202 66936 75303 89248 100404 133872 150606 178496 200808 225909 267744 301212 356992 401616 451818 535488 602424 803232 903636 1070976 1204848 1606464 1807272 2409696 3212928 3614544 4819392 7229088 9638784 14458176 28916352