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28329096048 = 243113131801
BaseRepresentation
bin11010011000100010…
…111011001101110000
32201010022012012001120
4122120202323031300
5431004222033143
621003022502240
72022010225521
oct323042731560
981108165046
1028329096048
1111018044180
1255a7434980
132896165236
14152a578848
15b0c0c1383
hex6988bb370

28329096048 has 160 divisors (see below), whose sum is σ = 82543478784. Its totient is φ = 8303040000.

The previous prime is 28329096031. The next prime is 28329096053. The reversal of 28329096048 is 84069092382.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15728748 + ... + 15730548.

Almost surely, 228329096048 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 28329096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41271739392).

28329096048 is an abundant number, since it is smaller than the sum of its proper divisors (54214382736).

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

28329096048 is a wasteful number, since it uses less digits than its factorization.

28329096048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 28329096048 in words is "twenty-eight billion, three hundred twenty-nine million, ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 961 1023 1364 1488 1801 1922 2046 2728 2883 3602 3844 4092 5403 5456 5766 7204 7688 8184 10571 10806 11532 14408 15376 16368 19811 21142 21612 23064 28816 29791 31713 39622 42284 43224 46128 55831 59433 59582 63426 79244 84568 86448 89373 111662 118866 119164 126852 158488 167493 169136 178746 223324 237732 238328 253704 316976 327701 334986 357492 446648 475464 476656 507408 614141 655402 669972 714984 893296 950928 983103 1228282 1310804 1339944 1429968 1730761 1842423 1966206 2456564 2621608 2679888 3461522 3684846 3932412 4913128 5192283 5243216 6923044 7369692 7864824 9826256 10384566 13846088 14739384 15729648 19038371 20769132 27692176 29478768 38076742 41538264 53653591 57115113 76153484 83076528 107307182 114230226 152306968 160960773 214614364 228460452 304613936 321921546 429228728 456920904 590189501 643843092 858457456 913841808 1180379002 1287686184 1770568503 2360758004 2575372368 3541137006 4721516008 7082274012 9443032016 14164548024 28329096048