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4428970728 = 2337132777321
BaseRepresentation
bin1000001111111110…
…01011101011101000
3102102122220000122220
410013333023223220
533032304030403
62011252114040
7214516426050
oct40777135350
912378800586
104428970728
111973047296
12a37305920
13557767650
143002da560
151adc5c953
hex107fcbae8

4428970728 has 128 divisors (see below), whose sum is σ = 13678667520. Its totient is φ = 1163704320.

The previous prime is 4428970727. The next prime is 4428970739. The reversal of 4428970728 is 8270798244.

It is not an unprimeable number, because it can be changed into a prime (4428970727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601308 + ... + 608628.

It is an arithmetic number, because the mean of its divisors is an integer number (106864590).

Almost surely, 24428970728 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 4428970728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6839333760).

4428970728 is an abundant number, since it is smaller than the sum of its proper divisors (9249696792).

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

4428970728 is a wasteful number, since it uses less digits than its factorization.

4428970728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7627 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 4428970728 is about 66550.5126050882. The cubic root of 4428970728 is about 1642.2310909035.

The spelling of 4428970728 in words is "four billion, four hundred twenty-eight million, nine hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 277 312 364 546 554 728 831 1092 1108 1662 1939 2184 2216 3324 3601 3878 5817 6648 7202 7321 7756 10803 11634 14404 14642 15512 21606 21963 23268 25207 28808 29284 43212 43926 46536 50414 51247 58568 75621 86424 87852 95173 100828 102494 151242 153741 175704 190346 201656 204988 285519 302484 307482 380692 409976 571038 604968 614964 666211 761384 1142076 1229928 1332422 1998633 2027917 2284152 2664844 3997266 4055834 5329688 6083751 7994532 8111668 12167502 14195419 15989064 16223336 24335004 26362921 28390838 42586257 48670008 52725842 56781676 79088763 85172514 105451684 113563352 158177526 170345028 184540447 210903368 316355052 340690056 369080894 553621341 632710104 738161788 1107242682 1476323576 2214485364 4428970728