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28165144 = 23719103257
BaseRepresentation
bin110101101110…
…0010000011000
31221222221022111
41223130100120
524202241034
62443402104
7461254060
oct153342030
957887274
1028165144
1114997987
129523334
135ab1a87
143a523a0
152715364
hex1adc418

28165144 has 64 divisors (see below), whose sum is σ = 64396800. Its totient is φ = 11280384.

The previous prime is 28165117. The next prime is 28165147. The reversal of 28165144 is 44156182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28165147) 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 15 ways as a sum of consecutive naturals, for example, 109464 + ... + 109720.

It is an arithmetic number, because the mean of its divisors is an integer number (1006200).

Almost surely, 228165144 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 28165144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32198400).

28165144 is an abundant number, since it is smaller than the sum of its proper divisors (36231656).

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

28165144 is a wasteful number, since it uses less digits than its factorization.

28165144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 28165144 is about 5307.0843219229. The cubic root of 28165144 is about 304.2547207212.

The spelling of 28165144 in words is "twenty-eight million, one hundred sixty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 103 133 152 206 257 266 412 514 532 721 824 1028 1064 1442 1799 1957 2056 2884 3598 3914 4883 5768 7196 7828 9766 13699 14392 15656 19532 26471 27398 34181 39064 52942 54796 68362 105884 109592 136724 185297 211768 273448 370594 502949 741188 1005898 1482376 2011796 3520643 4023592 7041286 14082572 28165144