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5728500 = 2232531967
BaseRepresentation
bin10101110110100011110100
3101210001000200
4111312203310
52431303000
6322440500
766456111
oct25664364
911701020
105728500
1132629a8
121b03130
13125755b
14a91908
15782500
hex5768f4

5728500 has 144 divisors (see below), whose sum is σ = 19306560. Its totient is φ = 1425600.

The previous prime is 5728477. The next prime is 5728517. The reversal of 5728500 is 58275.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85467 + ... + 85533.

Almost surely, 25728500 is an apocalyptic number.

5728500 is a gapful number since it is divisible by the number (50) 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 5728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653280).

5728500 is an abundant number, since it is smaller than the sum of its proper divisors (13578060).

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

5728500 is a wasteful number, since it uses less digits than its factorization.

5728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5728500 is about 2393.4285032146. The cubic root of 5728500 is about 178.9288232770.

The spelling of 5728500 in words is "five million, seven hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 67 75 76 90 95 100 114 125 134 150 171 180 190 201 225 228 250 268 285 300 335 342 375 380 402 450 475 500 570 603 670 684 750 804 855 900 950 1005 1125 1140 1206 1273 1340 1425 1500 1675 1710 1900 2010 2250 2375 2412 2546 2850 3015 3350 3420 3819 4020 4275 4500 4750 5025 5092 5700 6030 6365 6700 7125 7638 8375 8550 9500 10050 11457 12060 12730 14250 15075 15276 16750 17100 19095 20100 21375 22914 25125 25460 28500 30150 31825 33500 38190 42750 45828 50250 57285 60300 63650 75375 76380 85500 95475 100500 114570 127300 150750 159125 190950 229140 286425 301500 318250 381900 477375 572850 636500 954750 1145700 1432125 1909500 2864250 5728500