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28145536 = 271971163
BaseRepresentation
bin110101101011…
…1011110000000
31221221221102021
41223113132000
524201124121
62443131224
7461142646
oct153273600
957857367
1028145536
1114984181
129513b14
135aa5b83
143a49196
15270e641
hex1ad7780

28145536 has 64 divisors (see below), whose sum is σ = 60220800. Its totient is φ = 13063680.

The previous prime is 28145531. The next prime is 28145539. The reversal of 28145536 is 63554182.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28145531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172591 + ... + 172753.

It is an arithmetic number, because the mean of its divisors is an integer number (940950).

Almost surely, 228145536 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 28145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110400).

28145536 is an abundant number, since it is smaller than the sum of its proper divisors (32075264).

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

28145536 is a wasteful number, since it uses less digits than its factorization.

28145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 28145536 is about 5305.2366582463. The cubic root of 28145536 is about 304.1840990155.

The spelling of 28145536 in words is "twenty-eight million, one hundred forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 128 142 152 163 284 304 326 568 608 652 1136 1216 1304 1349 2272 2432 2608 2698 3097 4544 5216 5396 6194 9088 10432 10792 11573 12388 20864 21584 23146 24776 43168 46292 49552 86336 92584 99104 172672 185168 198208 219887 370336 396416 439774 740672 879548 1481344 1759096 3518192 7036384 14072768 28145536