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2828873728 = 2125383157
BaseRepresentation
bin1010100010011101…
…0011000000000000
321022011000200020001
42220213103000000
521243142424403
61144412325344
7130050013162
oct25047230000
97264020201
102828873728
11122190977a
1266b473854
133610c96a5
141cb9bc932
1511853ec1d
hexa89d3000

2828873728 has 104 divisors (see below), whose sum is σ = 5870391408. Its totient is φ = 1362296832.

The previous prime is 2828873717. The next prime is 2828873771. The reversal of 2828873728 is 8273788282.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18018226 + ... + 18018382.

Almost surely, 22828873728 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 2828873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935195704).

2828873728 is an abundant number, since it is smaller than the sum of its proper divisors (3041517680).

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

2828873728 is an equidigital number, since it uses as much as digits as its factorization.

2828873728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 295 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 55.

The square root of 2828873728 is about 53187.1575476637. The cubic root of 2828873728 is about 1414.2879923314.

The spelling of 2828873728 in words is "two billion, eight hundred twenty-eight million, eight hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 83 106 128 157 166 212 256 314 332 424 512 628 664 848 1024 1256 1328 1696 2048 2512 2656 3392 4096 4399 5024 5312 6784 8321 8798 10048 10624 13031 13568 16642 17596 20096 21248 26062 27136 33284 35192 40192 42496 52124 54272 66568 70384 80384 84992 104248 108544 133136 140768 160768 169984 208496 217088 266272 281536 321536 339968 416992 532544 563072 643072 690643 833984 1065088 1126144 1381286 1667968 2130176 2252288 2762572 3335936 4260352 4504576 5525144 6671872 8520704 9009152 11050288 13343744 17041408 18018304 22100576 26687488 34082816 44201152 53374976 88402304 176804608 353609216 707218432 1414436864 2828873728