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28826406 = 232742329
BaseRepresentation
bin110110111110…
…1101100100110
32000020112101200
41231331230212
524334421111
62505503330
7500010000
oct155755446
960215350
1028826406
11152a9784
1297a1b46
135c83a5b
143b85370
1527e6256
hex1b7db26

28826406 has 120 divisors (see below), whose sum is σ = 78652080. Its totient is φ = 7606368.

The previous prime is 28826393. The next prime is 28826417. The reversal of 28826406 is 60462882.

28826406 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 640 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 994000 + ... + 994028.

It is an arithmetic number, because the mean of its divisors is an integer number (655434).

Almost surely, 228826406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28826406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39326040).

28826406 is an abundant number, since it is smaller than the sum of its proper divisors (49825674).

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

28826406 is a wasteful number, since it uses less digits than its factorization.

28826406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28826406 is about 5369.0228161184. The cubic root of 28826406 is about 306.6174256688.

The spelling of 28826406 in words is "twenty-eight million, eight hundred twenty-six thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 29 42 46 49 58 63 69 87 98 126 138 147 161 174 203 207 261 294 322 343 406 414 441 483 522 609 667 686 882 966 1029 1127 1218 1334 1421 1449 1827 2001 2058 2254 2401 2842 2898 3087 3381 3654 4002 4263 4669 4802 6003 6174 6762 7203 7889 8526 9338 9947 10143 12006 12789 14007 14406 15778 19894 20286 21609 23667 25578 28014 29841 32683 42021 43218 47334 55223 59682 65366 69629 71001 84042 89523 98049 110446 139258 142002 165669 179046 196098 208887 228781 294147 331338 417774 457562 497007 588294 626661 686343 994014 1253322 1372686 1601467 2059029 3202934 4118058 4804401 9608802 14413203 28826406