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10928352828 = 22317389137713
BaseRepresentation
bin10100010110110000…
…10110111000111100
31001012121121211210110
422023120112320330
5134340124242303
65004224310020
7534546315651
oct121330267074
931177554713
1010928352828
1146a8852258
12214ba72310
131052130183
1475957dc28
1543e63a703
hex28b616e3c

10928352828 has 48 divisors (see below), whose sum is σ = 27069063840. Its totient is φ = 3419664384.

The previous prime is 10928352793. The next prime is 10928352833. The reversal of 10928352828 is 82825382901.

It is a happy number.

10928352828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 10500 + ... + 148212.

It is an arithmetic number, because the mean of its divisors is an integer number (563938830).

Almost surely, 210928352828 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 10928352828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534531920).

10928352828 is an abundant number, since it is smaller than the sum of its proper divisors (16140711012).

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

10928352828 is a wasteful number, since it uses less digits than its factorization.

10928352828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138126 (or 138124 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 10928352828 in words is "ten billion, nine hundred twenty-eight million, three hundred fifty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 389 778 1167 1556 2334 4668 6613 13226 19839 26452 39678 79356 137713 275426 413139 550852 826278 1652556 2341121 4682242 7023363 9364484 14046726 28093452 53570357 107140714 160711071 214281428 321422142 642844284 910696069 1821392138 2732088207 3642784276 5464176414 10928352828