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5528963328 = 28378312391
BaseRepresentation
bin1010010011000110…
…10100100100000000
3112021022201102211120
411021203110210000
542310403311303
62312344512240
7254004261420
oct51143244400
915238642746
105528963328
112387a56a89
1210a377b680
136a1614b45
143a6436480
152255e1553
hex1498d4900

5528963328 has 144 divisors (see below), whose sum is σ = 17021254656. Its totient is φ = 1560545280.

The previous prime is 5528963309. The next prime is 5528963381. The reversal of 5528963328 is 8233698255.

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 15 ways as a sum of consecutive naturals, for example, 440013 + ... + 452403.

Almost surely, 25528963328 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 5528963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510627328).

5528963328 is an abundant number, since it is smaller than the sum of its proper divisors (11492291328).

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

5528963328 is a wasteful number, since it uses less digits than its factorization.

5528963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500 (or 12486 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The square root of 5528963328 is about 74356.9991863577. Note that the first 3 decimals coincide. The cubic root of 5528963328 is about 1768.2672486955.

The spelling of 5528963328 in words is "five billion, five hundred twenty-eight million, nine hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 128 166 168 192 224 249 256 332 336 384 448 498 581 664 672 768 896 996 1162 1328 1344 1743 1792 1992 2324 2656 2688 3486 3984 4648 5312 5376 6972 7968 9296 10624 12391 13944 15936 18592 21248 24782 27888 31872 37173 37184 49564 55776 63744 74346 74368 86737 99128 111552 148692 148736 173474 198256 223104 260211 297384 346948 396512 446208 520422 594768 693896 793024 1028453 1040844 1189536 1387792 1586048 2056906 2081688 2379072 2775584 3085359 3172096 4113812 4163376 4758144 5551168 6170718 7199171 8227624 8326752 9516288 11102336 12341436 14398342 16455248 16653504 21597513 22204672 24682872 28796684 32910496 33307008 43195026 49365744 57593368 65820992 66614016 86390052 98731488 115186736 131641984 172780104 197462976 230373472 263283968 345560208 394925952 460746944 691120416 789851904 921493888 1382240832 1842987776 2764481664 5528963328