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28043136 = 2732112213
BaseRepresentation
bin110101011111…
…0011110000000
31221202201221200
41222332132000
524134340021
62441021200
7460235262
oct152763600
957681850
1028043136
1114914250
129484800
135a6b394
143a1db32
1526de126
hex1abe780

28043136 has 96 divisors (see below), whose sum is σ = 88072920. Its totient is φ = 8494080.

The previous prime is 28043131. The next prime is 28043153. The reversal of 28043136 is 63134082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×280431363 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28043131) 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 11 ways as a sum of consecutive naturals, for example, 11566 + ... + 13778.

Almost surely, 228043136 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 28043136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44036460).

28043136 is an abundant number, since it is smaller than the sum of its proper divisors (60029784).

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

28043136 is a wasteful number, since it uses less digits than its factorization.

28043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28043136 is about 5295.5770223839. The cubic root of 28043136 is about 303.8147532528.

The spelling of 28043136 in words is "twenty-eight million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 2213 3168 4224 4426 6336 6639 8852 12672 13278 17704 19917 24343 26556 35408 39834 48686 53112 70816 73029 79668 97372 106224 141632 146058 159336 194744 212448 219087 283264 292116 318672 389488 424896 438174 584232 637344 778976 849792 876348 1168464 1274688 1557952 1752696 2336928 2549376 3115904 3505392 4673856 7010784 9347712 14021568 28043136