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28022528 = 281747137
BaseRepresentation
bin110101011100…
…1011100000000
31221201200200102
41222321130000
524133210103
62440341532
7460121222
oct152713400
957650612
1028022528
11148aa816
1294748a8
135a61ba1
143a16412
1526d7e88
hex1ab9700

28022528 has 72 divisors (see below), whose sum is σ = 60927552. Its totient is φ = 12812288.

The previous prime is 28022521. The next prime is 28022563. The reversal of 28022528 is 82522082.

It is a self number, because there is not a number n which added to its sum of digits gives 28022528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28022521) 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 7 ways as a sum of consecutive naturals, for example, 204476 + ... + 204612.

It is an arithmetic number, because the mean of its divisors is an integer number (846216).

Almost surely, 228022528 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 28022528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30463776).

28022528 is an abundant number, since it is smaller than the sum of its proper divisors (32905024).

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

28022528 is a wasteful number, since it uses less digits than its factorization.

28022528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 28022528 is about 5293.6308900414. The cubic root of 28022528 is about 303.7403137806.

The spelling of 28022528 in words is "twenty-eight million, twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 137 188 256 272 274 376 544 548 752 799 1088 1096 1504 1598 2176 2192 2329 3008 3196 4352 4384 4658 6016 6392 6439 8768 9316 12032 12784 12878 17536 18632 25568 25756 35072 37264 51136 51512 74528 102272 103024 109463 149056 204544 206048 218926 298112 412096 437852 596224 824192 875704 1648384 1751408 3502816 7005632 14011264 28022528