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28344096 = 25321123389
BaseRepresentation
bin110110000011…
…1111100100000
31222100000210100
41230013330200
524224002341
62451302400
7462630564
oct154077440
958300710
1028344096
1114aaa380
1295aaa00
135b45371
143a9b6a4
15274d3b6
hex1b07f20

28344096 has 144 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 8194560.

The previous prime is 28344091. The next prime is 28344101. The reversal of 28344096 is 69044382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28344091) and next prime (28344101).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28344096.

It is not an unprimeable number, because it can be changed into a prime (28344091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72670 + ... + 73058.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 228344096 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 28344096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45995040).

28344096 is an abundant number, since it is smaller than the sum of its proper divisors (63645984).

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

28344096 is a wasteful number, since it uses less digits than its factorization.

28344096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28344096 is about 5323.9173547304. The cubic root of 28344096 is about 304.8977387175.

The spelling of 28344096 in words is "twenty-eight million, three hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 389 396 414 506 528 552 736 759 778 792 828 1012 1056 1104 1167 1518 1556 1584 1656 2024 2208 2277 2334 3036 3112 3168 3312 3501 4048 4279 4554 4668 6072 6224 6624 7002 8096 8558 8947 9108 9336 12144 12448 12837 14004 17116 17894 18216 18672 24288 25674 26841 28008 34232 35788 36432 37344 38511 51348 53682 56016 68464 71576 72864 77022 80523 98417 102696 107364 112032 136928 143152 154044 161046 196834 205392 214728 286304 295251 308088 322092 393668 410784 429456 590502 616176 644184 787336 858912 885753 1181004 1232352 1288368 1574672 1771506 2362008 2576736 3149344 3543012 4724016 7086024 9448032 14172048 28344096