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28681812 = 22322983331
BaseRepresentation
bin110110101101…
…0011001010100
31222222012001100
41231122121110
524320304222
62502430100
7465535305
oct155323124
958865040
1028681812
1115210085
129732330
135c32cb3
143b487ac
1527b84ac
hex1b5a654

28681812 has 72 divisors (see below), whose sum is σ = 76134240. Its totient is φ = 9092160.

The previous prime is 28681801. The next prime is 28681813. The reversal of 28681812 is 21818682.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28681813) 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 23 ways as a sum of consecutive naturals, for example, 86487 + ... + 86817.

It is an arithmetic number, because the mean of its divisors is an integer number (1057420).

Almost surely, 228681812 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 28681812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38067120).

28681812 is an abundant number, since it is smaller than the sum of its proper divisors (47452428).

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

28681812 is a wasteful number, since it uses less digits than its factorization.

28681812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 448 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 28681812 is about 5355.5403088764. The cubic root of 28681812 is about 306.1038991024.

Adding to 28681812 its product of digits (12288), we get a triangular number (28694100 = T7575).

The spelling of 28681812 in words is "twenty-eight million, six hundred eighty-one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 83 87 116 166 174 249 261 331 332 348 498 522 662 747 993 996 1044 1324 1494 1986 2407 2979 2988 3972 4814 5958 7221 9599 9628 11916 14442 19198 21663 27473 28797 28884 38396 43326 54946 57594 82419 86391 86652 109892 115188 164838 172782 247257 329676 345564 494514 796717 989028 1593434 2390151 3186868 4780302 7170453 9560604 14340906 28681812