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28824336 = 243423967
BaseRepresentation
bin110110111110…
…1001100010000
32000020102120000
41231331030100
524334334321
62505450000
7500000652
oct155751420
960212500
1028824336
11152a8172
1297a0900
135c82b28
143b846d2
1527e5826
hex1b7d310

28824336 has 100 divisors (see below), whose sum is σ = 87143232. Its totient is φ = 9180864.

The previous prime is 28824331. The next prime is 28824337. The reversal of 28824336 is 63342882.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28824336.

It is not an unprimeable number, because it can be changed into a prime (28824331) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 29325 + ... + 30291.

Almost surely, 228824336 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 28824336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43571616).

28824336 is an abundant number, since it is smaller than the sum of its proper divisors (58318896).

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

28824336 is a wasteful number, since it uses less digits than its factorization.

28824336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 995 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28824336 is about 5368.8300401484. The cubic root of 28824336 is about 306.6100861798.

The spelling of 28824336 in words is "twenty-eight million, eight hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 967 1104 1242 1296 1656 1863 1934 2484 2901 3312 3726 3868 4968 5802 7452 7736 8703 9936 11604 14904 15472 17406 22241 23208 26109 29808 34812 44482 46416 52218 66723 69624 78327 88964 104436 133446 139248 156654 177928 200169 208872 266892 313308 355856 400338 417744 533784 600507 626616 800676 1067568 1201014 1253232 1601352 1801521 2402028 3202704 3603042 4804056 7206084 9608112 14412168 28824336