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28267008 = 293711239
BaseRepresentation
bin110101111010…
…1001000000000
31222012010001020
41223311020000
524214021013
62445505440
7462160050
oct153651000
958163036
1028267008
1114a57470
129572280
135b19253
143a7b560
152735623
hex1af5200

28267008 has 160 divisors (see below), whose sum is σ = 94279680. Its totient is φ = 7311360.

The previous prime is 28267007. The next prime is 28267013. The reversal of 28267008 is 80076282.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 28267008.

It is not an unprimeable number, because it can be changed into a prime (28267007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118153 + ... + 118391.

It is an arithmetic number, because the mean of its divisors is an integer number (589248).

Almost surely, 228267008 is an apocalyptic number.

28267008 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 28267008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47139840).

28267008 is an abundant number, since it is smaller than the sum of its proper divisors (66012672).

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

28267008 is a wasteful number, since it uses less digits than its factorization.

28267008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 28267008 is about 5316.6726436748. The cubic root of 28267008 is about 304.6210756081.

The spelling of 28267008 in words is "twenty-eight million, two hundred sixty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 239 256 264 308 336 352 384 448 462 478 512 528 616 672 704 717 768 896 924 956 1056 1232 1344 1408 1434 1536 1673 1792 1848 1912 2112 2464 2629 2688 2816 2868 3346 3584 3696 3824 4224 4928 5019 5258 5376 5632 5736 6692 7392 7648 7887 8448 9856 10038 10516 10752 11472 13384 14784 15296 15774 16896 18403 19712 20076 21032 22944 26768 29568 30592 31548 36806 39424 40152 42064 45888 53536 55209 59136 61184 63096 73612 80304 84128 91776 107072 110418 118272 122368 126192 147224 160608 168256 183552 214144 220836 252384 294448 321216 336512 367104 428288 441672 504768 588896 642432 673024 856576 883344 1009536 1177792 1284864 1346048 1766688 2019072 2355584 2569728 3533376 4038144 4711168 7066752 9422336 14133504 28267008