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10728256 = 267211311
BaseRepresentation
bin101000111011…
…001101000000
3202012001101211
4220323031000
510221301011
61021535504
7160121500
oct50731500
922161354
1010728256
116068330
123714594
1322b81a6
1415d3a00
15e1db21
hexa3b340

10728256 has 84 divisors (see below), whose sum is σ = 27102816. Its totient is φ = 4166400.

The previous prime is 10728251. The next prime is 10728257. The reversal of 10728256 is 65282701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34341 + ... + 34651.

Almost surely, 210728256 is an apocalyptic number.

10728256 is a gapful number since it is divisible by the number (16) 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 10728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551408).

10728256 is an abundant number, since it is smaller than the sum of its proper divisors (16374560).

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

10728256 is a wasteful number, since it uses less digits than its factorization.

10728256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 10728256 is about 3275.4016547593. The cubic root of 10728256 is about 220.5513443883.

The spelling of 10728256 in words is "ten million, seven hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 311 352 392 448 539 616 622 704 784 1078 1232 1244 1568 2156 2177 2464 2488 3136 3421 4312 4354 4928 4976 6842 8624 8708 9952 13684 15239 17248 17416 19904 23947 27368 30478 34496 34832 47894 54736 60956 69664 95788 109472 121912 139328 167629 191576 218944 243824 335258 383152 487648 670516 766304 975296 1341032 1532608 2682064 5364128 10728256