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28912128 = 29372689
BaseRepresentation
bin110111001001…
…0101000000000
32000101212222120
41232102220000
524400142003
62511404240
7500514630
oct156225000
960355876
1028912128
1115358123
129823680
135cb3a8b
143ba86c0
152811853
hex1b92a00

28912128 has 80 divisors (see below), whose sum is σ = 88059840. Its totient is φ = 8257536.

The previous prime is 28912099. The next prime is 28912151. The reversal of 28912128 is 82121982.

It is a Cunningham number, because it is equal to 53772-1.

It is a super-2 number, since 2×289121282 = 1671822290976768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9408 + ... + 12096.

It is an arithmetic number, because the mean of its divisors is an integer number (1100748).

Almost surely, 228912128 is an apocalyptic number.

28912128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029920).

28912128 is an abundant number, since it is smaller than the sum of its proper divisors (59147712).

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

28912128 is an equidigital number, since it uses as much as digits as its factorization.

28912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2701 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 28912128 is about 5376.9999070113. Note that the first 4 decimals coincide. The cubic root of 28912128 is about 306.9210575564.

The spelling of 28912128 in words is "twenty-eight million, nine hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 2689 3584 5376 5378 8067 10752 10756 16134 18823 21512 32268 37646 43024 56469 64536 75292 86048 112938 129072 150584 172096 225876 258144 301168 344192 451752 516288 602336 688384 903504 1032576 1204672 1376768 1807008 2065152 2409344 3614016 4130304 4818688 7228032 9637376 14456064 28912128