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28057344 = 283717307
BaseRepresentation
bin110101100000…
…1111100000000
31221210110102220
41223001330000
524140313334
62441211040
7460324560
oct153017400
957713386
1028057344
1114923997
129490a80
135a749a3
143a24da0
1526e3449
hex1ac1f00

28057344 has 144 divisors (see below), whose sum is σ = 90655488. Its totient is φ = 7520256.

The previous prime is 28057343. The next prime is 28057349. The reversal of 28057344 is 44375082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28057343) 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, 91239 + ... + 91545.

It is an arithmetic number, because the mean of its divisors is an integer number (629552).

Almost surely, 228057344 is an apocalyptic number.

28057344 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 28057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45327744).

28057344 is an abundant number, since it is smaller than the sum of its proper divisors (62598144).

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

28057344 is a wasteful number, since it uses less digits than its factorization.

28057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 28057344 is about 5296.9183493801. The cubic root of 28057344 is about 303.8660536402.

The spelling of 28057344 in words is "twenty-eight million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 307 336 357 384 408 448 476 544 614 672 714 768 816 896 921 952 1088 1228 1344 1428 1632 1792 1842 1904 2149 2176 2456 2688 2856 3264 3684 3808 4298 4352 4912 5219 5376 5712 6447 6528 7368 7616 8596 9824 10438 11424 12894 13056 14736 15232 15657 17192 19648 20876 22848 25788 29472 30464 31314 34384 36533 39296 41752 45696 51576 58944 62628 68768 73066 78592 83504 91392 103152 109599 117888 125256 137536 146132 167008 206304 219198 235776 250512 275072 292264 334016 412608 438396 501024 550144 584528 668032 825216 876792 1002048 1169056 1336064 1650432 1753584 2004096 2338112 3507168 4008192 4676224 7014336 9352448 14028672 28057344