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28087968 = 2532312721
BaseRepresentation
bin110101100100…
…1011010100000
31221212000110010
41223021122200
524142303333
62442004520
7460513056
oct153113240
957760403
1028087968
11149449a7
1294a6740
135a858cc
143a321d6
1526ec563
hex1ac96a0

28087968 has 48 divisors (see below), whose sum is σ = 76942656. Its totient is φ = 8954880.

The previous prime is 28087967. The next prime is 28087973. The reversal of 28087968 is 86978082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×280879685 (a number of 38 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (28087967) 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, 4153 + ... + 8568.

It is an arithmetic number, because the mean of its divisors is an integer number (1602972).

Almost surely, 228087968 is an apocalyptic number.

It is an amenable number.

28087968 is an abundant number, since it is smaller than the sum of its proper divisors (48854688).

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

28087968 is a wasteful number, since it uses less digits than its factorization.

28087968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 28087968 is about 5299.8082984199. The cubic root of 28087968 is about 303.9765679077.

The spelling of 28087968 in words is "twenty-eight million, eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 12721 25442 38163 50884 76326 101768 152652 203536 292583 305304 407072 585166 610608 877749 1170332 1221216 1755498 2340664 3510996 4681328 7021992 9362656 14043984 28087968