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328838796832 = 25713358331517
BaseRepresentation
bin1001100100100000101…
…00011101011000100000
31011102210100012200211111
410302100110131120200
520341430212444312
6411022204353104
732520634440250
oct4622024353040
91142710180744
10328838796832
11117506a23197
1253893545794
1325017764530
1411cb7279960
1588493b28a7
hex4c9051d620

328838796832 has 96 divisors (see below), whose sum is σ = 797049372672. Its totient is φ = 130049639424.

The previous prime is 328838796823. The next prime is 328838796841. The reversal of 328838796832 is 238697838823.

It is an interprime number because it is at equal distance from previous prime (328838796823) and next prime (328838796841).

It is a super-3 number, since 3×3288387968323 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10417938 + ... + 10449454.

It is an arithmetic number, because the mean of its divisors is an integer number (8302597632).

Almost surely, 2328838796832 is an apocalyptic number.

328838796832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328838796832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398524686336).

328838796832 is an abundant number, since it is smaller than the sum of its proper divisors (468210575840).

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

328838796832 is a wasteful number, since it uses less digits than its factorization.

328838796832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35130 (or 35122 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 67.

The spelling of 328838796832 in words is "three hundred twenty-eight billion, eight hundred thirty-eight million, seven hundred ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3583 7166 14332 25081 28664 31517 46579 50162 57328 63034 93158 100324 114656 126068 186316 200648 220619 252136 326053 372632 401296 409721 441238 504272 652106 745264 802592 819442 882476 1008544 1304212 1490528 1638884 1764952 2608424 2868047 3277768 3529904 5216848 5736094 6555536 7059808 10433696 11472188 13111072 22944376 45888752 91777504 112925411 225850822 451701644 790477877 903403288 1468030343 1580955754 1806806576 2936060686 3161911508 3613613152 5872121372 6323823016 10276212401 11744242744 12647646032 20552424802 23488485488 25295292064 41104849604 46976970976 82209699208 164419398416 328838796832