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1028328947370 = 233583107428851
BaseRepresentation
bin11101111011011010010…
…11100111111010101010
310122022022000100001121000
432331231023213322222
5113322004202303440
62104224030055430
7134202643555224
oct16755513477252
93568260301530
101028328947370
1136712597839a
1214736934a576
1375c813ab1aa
1437ab2983414
151bb38808730
hexef6d2e7eaa

1028328947370 has 128 divisors (see below), whose sum is σ = 2801192647680. Its totient is φ = 268384622400.

The previous prime is 1028328947353. The next prime is 1028328947389. The reversal of 1028328947370 is 737498238201.

1028328947370 is a `hidden beast` number, since 1 + 0 + 2 + 83 + 28 + 9 + 473 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2183445 + ... + 2612295.

It is an arithmetic number, because the mean of its divisors is an integer number (21884317560).

Almost surely, 21028328947370 is an apocalyptic number.

1028328947370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028328947370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400596323840).

1028328947370 is an abundant number, since it is smaller than the sum of its proper divisors (1772863700310).

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

1028328947370 is a wasteful number, since it uses less digits than its factorization.

1028328947370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429057 (or 429051 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1028328947370 in words is "one trillion, twenty-eight billion, three hundred twenty-eight million, nine hundred forty-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 107 135 166 214 249 270 321 415 498 535 642 747 830 963 1070 1245 1494 1605 1926 2241 2490 2889 3210 3735 4482 4815 5778 7470 8881 9630 11205 14445 17762 22410 26643 28890 44405 53286 79929 88810 133215 159858 239787 266430 399645 428851 479574 799290 857702 1198935 1286553 2144255 2397870 2573106 3859659 4288510 6432765 7719318 11578977 12865530 19298295 23157954 35594633 38596590 45887057 57894885 71189266 91774114 106783899 115789770 137661171 177973165 213567798 229435285 275322342 320351697 355946330 412983513 458870570 533919495 640703394 688305855 825967026 961055091 1067838990 1238950539 1376611710 1601758485 1922110182 2064917565 2477901078 3203516970 3808625731 4129835130 4805275455 6194752695 7617251462 9610550910 11425877193 12389505390 19043128655 22851754386 34277631579 38086257310 57129385965 68555263158 102832894737 114258771930 171388157895 205665789474 342776315790 514164473685 1028328947370