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828328105 = 511971391117
BaseRepresentation
bin110001010111110…
…100100010101001
32010201122102112201
4301113310202221
53144022444410
6214105540201
726345446513
oct6127644251
92121572481
10828328105
1139562a190
121b14a4661
131027c0b97
147c020bb3
154cac083a
hex315f48a9

828328105 has 32 divisors (see below), whose sum is σ = 1104405120. Its totient is φ = 591390720.

The previous prime is 828328099. The next prime is 828328121. The reversal of 828328105 is 501823828.

828328105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 828328105 - 23 = 828328097 is a prime.

It is a super-2 number, since 2×8283281052 = 1372254899065782050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741007 + ... + 742123.

It is an arithmetic number, because the mean of its divisors is an integer number (34512660).

Almost surely, 2828328105 is an apocalyptic number.

It is an amenable number.

828328105 is a deficient number, since it is larger than the sum of its proper divisors (276077015).

828328105 is a wasteful number, since it uses less digits than its factorization.

828328105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369.

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 828328105 is about 28780.6897936794. The cubic root of 828328105 is about 939.1482041458.

The spelling of 828328105 in words is "eight hundred twenty-eight million, three hundred twenty-eight thousand, one hundred five".

Divisors: 1 5 11 55 97 139 485 695 1067 1117 1529 5335 5585 7645 12287 13483 61435 67415 108349 148313 155263 541745 741565 776315 1191839 1707893 5959195 8539465 15060511 75302555 165665621 828328105