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28759694112 = 253433312
BaseRepresentation
bin11010110010001101…
…100001101100100000
32202020022102211120000
4122302031201230200
5432344440202422
621113444020000
72035456236462
oct326215415440
982208384500
1028759694112
1111219108946
1256a7691600
13293442aaa6
14156b826132
15b34ccacac
hex6b2361b20

28759694112 has 90 divisors (see below), whose sum is σ = 84606861339. Its totient is φ = 9583686720.

The previous prime is 28759694111. The next prime is 28759694123. The reversal of 28759694112 is 21149695782.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28759694112 is a `hidden beast` number, since 2 + 8 + 7 + 596 + 9 + 41 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14379847056 + 14379847056 = 119916^2 + 119916^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=119916.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28759694111) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8632287 + ... + 8635617.

Almost surely, 228759694112 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 28759694112

28759694112 is an abundant number, since it is smaller than the sum of its proper divisors (55847167227).

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

28759694112 is an frugal number, since it uses more digits than its factorization.

28759694112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 3336 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 28759694112 in words is "twenty-eight billion, seven hundred fifty-nine million, six hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3331 6662 9993 13324 19986 26648 29979 39972 53296 59958 79944 89937 106592 119916 159888 179874 239832 269811 319776 359748 479664 539622 719496 959328 1079244 1438992 2158488 2877984 4316976 8633952 11095561 22191122 33286683 44382244 66573366 88764488 99860049 133146732 177528976 199720098 266293464 299580147 355057952 399440196 532586928 599160294 798880392 898740441 1065173856 1198320588 1597760784 1797480882 2396641176 3195521568 3594961764 4793282352 7189923528 9586564704 14379847056 28759694112