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28337128272 = 2432318376481
BaseRepresentation
bin11010011001000001…
…100100001101010000
32201010212022021012100
4122121001210031100
5431013301101042
621003511000400
72022135421215
oct323101441520
981125267170
1028337128272
111102162a982
1255aa069100
132897a1822b
14152b669b0c
15b0cb5b24c
hex699064350

28337128272 has 120 divisors (see below), whose sum is σ = 82850197248. Its totient is φ = 9030758400.

The previous prime is 28337128201. The next prime is 28337128289. The reversal of 28337128272 is 27282173382.

28337128272 is a `hidden beast` number, since 2 + 8 + 3 + 371 + 2 + 8 + 272 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332272 + ... + 408752.

Almost surely, 228337128272 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 28337128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41425098624).

28337128272 is an abundant number, since it is smaller than the sum of its proper divisors (54513068976).

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

28337128272 is a wasteful number, since it uses less digits than its factorization.

28337128272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76609 (or 76600 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 28337128272 in words is "twenty-eight billion, three hundred thirty-seven million, one hundred twenty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 83 93 124 144 166 186 248 249 279 332 372 496 498 558 664 744 747 996 1116 1328 1488 1494 1992 2232 2573 2988 3984 4464 5146 5976 7719 10292 11952 15438 20584 23157 30876 41168 46314 61752 76481 92628 123504 152962 185256 229443 305924 370512 458886 611848 688329 917772 1223696 1376658 1835544 2370911 2753316 3671088 4741822 5506632 6347923 7112733 9483644 11013264 12695846 14225466 18967288 19043769 21338199 25391692 28450932 37934576 38087538 42676398 50783384 56901864 57131307 76175076 85352796 101566768 113803728 114262614 152350152 170705592 196785613 228525228 304700304 341411184 393571226 457050456 590356839 787142452 914100912 1180713678 1574284904 1771070517 2361427356 3148569808 3542141034 4722854712 7084282068 9445709424 14168564136 28337128272