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28009344 = 2731119349
BaseRepresentation
bin110101011011…
…0001110000000
31221201000121010
41222312032000
524132244334
62440200520
7460034616
oct152661600
957630533
1028009344
11148a0920
129469140
135a58b9c
143a116b6
1526d40e9
hex1ab6380

28009344 has 128 divisors (see below), whose sum is σ = 85680000. Its totient is φ = 8017920.

The previous prime is 28009343. The next prime is 28009357. The reversal of 28009344 is 44390082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28009343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80082 + ... + 80430.

It is an arithmetic number, because the mean of its divisors is an integer number (669375).

Almost surely, 228009344 is an apocalyptic number.

28009344 is a gapful number since it is divisible by the number (24) 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 28009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840000).

28009344 is an abundant number, since it is smaller than the sum of its proper divisors (57670656).

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

28009344 is a wasteful number, since it uses less digits than its factorization.

28009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 28009344 is about 5292.3854734892. The cubic root of 28009344 is about 303.6926718681.

The spelling of 28009344 in words is "twenty-eight million, nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 349 352 384 418 456 528 608 627 698 704 836 912 1047 1056 1216 1254 1396 1408 1672 1824 2094 2112 2432 2508 2792 3344 3648 3839 4188 4224 5016 5584 6631 6688 7296 7678 8376 10032 11168 11517 13262 13376 15356 16752 19893 20064 22336 23034 26524 26752 30712 33504 39786 40128 44672 46068 53048 61424 67008 72941 79572 80256 92136 106096 122848 134016 145882 159144 184272 212192 218823 245696 291764 318288 368544 424384 437646 491392 583528 636576 737088 848768 875292 1167056 1273152 1474176 1750584 2334112 2546304 3501168 4668224 7002336 9336448 14004672 28009344