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1028937728 = 2117135521
BaseRepresentation
bin111101010101000…
…101100000000000
32122201010110012202
4331111011200000
54101402001403
6250033412332
734332553310
oct7525054000
92581113182
101028937728
11488899165
1224870a0a8
1313522c7c0
149a921440
15604ea688
hex3d545800

1028937728 has 96 divisors (see below), whose sum is σ = 2532610080. Its totient is φ = 406978560.

The previous prime is 1028937713. The next prime is 1028937731. The reversal of 1028937728 is 8277398201.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 183608 + ... + 189128.

It is an arithmetic number, because the mean of its divisors is an integer number (26381355).

Almost surely, 21028937728 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 1028937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266305040).

1028937728 is an abundant number, since it is smaller than the sum of its proper divisors (1503672352).

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

1028937728 is an equidigital number, since it uses as much as digits as its factorization.

1028937728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The square root of 1028937728 is about 32077.0592168297. The cubic root of 1028937728 is about 1009.5543333247.

The spelling of 1028937728 in words is "one billion, twenty-eight million, nine hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 5521 5824 6656 7168 11042 11648 13312 14336 22084 23296 26624 38647 44168 46592 71773 77294 88336 93184 143546 154588 176672 186368 287092 309176 353344 502411 574184 618352 706688 1004822 1148368 1236704 1413376 2009644 2296736 2473408 2826752 4019288 4593472 4946816 5653504 8038576 9186944 9893632 11307008 16077152 18373888 19787264 32154304 36747776 39574528 64308608 73495552 79149056 128617216 146991104 257234432 514468864 1028937728