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28021896 = 2333743431
BaseRepresentation
bin110101011100…
…1010010001000
31221201122211000
41222321102020
524133200041
62440335000
7460116330
oct152712210
957648730
1028021896
11148aa2a1
129474460
135a61806
143a160c0
1526d7bb6
hex1ab9488

28021896 has 128 divisors (see below), whose sum is σ = 91238400. Its totient is φ = 7801920.

The previous prime is 28021883. The next prime is 28021897. The reversal of 28021896 is 69812082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28021896.

It is not an unprimeable number, because it can be changed into a prime (28021897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64801 + ... + 65231.

It is an arithmetic number, because the mean of its divisors is an integer number (712800).

Almost surely, 228021896 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 28021896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200).

28021896 is an abundant number, since it is smaller than the sum of its proper divisors (63216504).

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

28021896 is a wasteful number, since it uses less digits than its factorization.

28021896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 28021896 is about 5293.5711953274. The cubic root of 28021896 is about 303.7380303163.

The spelling of 28021896 in words is "twenty-eight million, twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 84 86 108 126 129 168 172 189 216 252 258 301 344 378 387 431 504 516 602 756 774 862 903 1032 1161 1204 1293 1512 1548 1724 1806 2322 2408 2586 2709 3017 3096 3448 3612 3879 4644 5172 5418 6034 7224 7758 8127 9051 9288 10344 10836 11637 12068 15516 16254 18102 18533 21672 23274 24136 27153 31032 32508 36204 37066 46548 54306 55599 65016 72408 74132 81459 93096 108612 111198 129731 148264 162918 166797 217224 222396 259462 325836 333594 389193 444792 500391 518924 651672 667188 778386 1000782 1037848 1167579 1334376 1556772 2001564 2335158 3113544 3502737 4003128 4670316 7005474 9340632 14010948 28021896