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5728968 = 23357421
BaseRepresentation
bin10101110110101011001000
3101210001200000
4111312223020
52431311333
6322443000
766460350
oct25665310
911701600
105728968
113263293
121b03460
13125782b
14a91b60
15782713
hex576ac8

5728968 has 96 divisors (see below), whose sum is σ = 18432960. Its totient is φ = 1632960.

The previous prime is 5728939. The next prime is 5728991. The reversal of 5728968 is 8698275.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13398 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (192010).

Almost surely, 25728968 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 5728968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9216480).

5728968 is an abundant number, since it is smaller than the sum of its proper divisors (12703992).

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

5728968 is a wasteful number, since it uses less digits than its factorization.

5728968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 5728968 is about 2393.5262689179. The cubic root of 5728968 is about 178.9336957805.

The spelling of 5728968 in words is "five million, seven hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 421 486 504 567 648 756 842 972 1134 1263 1512 1684 1701 1944 2268 2526 2947 3368 3402 3789 4536 5052 5894 6804 7578 8841 10104 11367 11788 13608 15156 17682 22734 23576 26523 30312 34101 35364 45468 53046 68202 70728 79569 90936 102303 106092 136404 159138 204606 212184 238707 272808 318276 409212 477414 636552 716121 818424 954828 1432242 1909656 2864484 5728968