Search a number
-
+
5628881328 = 243719937941
BaseRepresentation
bin1010011111000000…
…11110100110110000
3112112021201210120020
411033200132212300
543011443200303
62330314243440
7256326462510
oct51740364660
915467653506
105628881328
1124293a1944
121111126580
136b922a215
143b5805840
1522e27ba53
hex14f81e9b0

5628881328 has 160 divisors (see below), whose sum is σ = 17530544640. Its totient is φ = 1520363520.

The previous prime is 5628881281. The next prime is 5628881329. The reversal of 5628881328 is 8231888265.

It is not an unprimeable number, because it can be changed into a prime (5628881329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5981338 + ... + 5982278.

It is an arithmetic number, because the mean of its divisors is an integer number (109565904).

Almost surely, 25628881328 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 5628881328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765272320).

5628881328 is an abundant number, since it is smaller than the sum of its proper divisors (11901663312).

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

5628881328 is a wasteful number, since it uses less digits than its factorization.

5628881328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The square root of 5628881328 is about 75025.8710579224. The cubic root of 5628881328 is about 1778.8556091479.

The spelling of 5628881328 in words is "five billion, six hundred twenty-eight million, eight hundred eighty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 937 941 1064 1596 1874 1882 2128 2811 2823 3192 3748 3764 5622 5646 6384 6559 6587 7496 7528 11244 11292 13118 13174 14992 15056 17803 17879 19677 19761 22488 22584 26236 26348 35606 35758 39354 39522 44976 45168 52472 52696 53409 53637 71212 71516 78708 79044 104944 105392 106818 107274 124621 125153 142424 143032 157416 158088 213636 214548 249242 250306 284848 286064 314832 316176 373863 375459 427272 429096 498484 500612 747726 750918 854544 858192 881717 996968 1001224 1495452 1501836 1763434 1993936 2002448 2645151 2990904 3003672 3526868 5290302 5981808 6007344 6172019 7053736 10580604 12344038 14107472 16752623 18516057 21161208 24688076 33505246 37032114 42322416 49376152 50257869 67010492 74064228 98752304 100515738 117268361 134020984 148128456 201031476 234536722 268041968 296256912 351805083 402062952 469073444 703610166 804125904 938146888 1407220332 1876293776 2814440664 5628881328