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28829662849 = 1323723532
BaseRepresentation
bin11010110110011000…
…011011111010000001
32202102012002121121201
4122312120123322001
5433020343202344
621124423421201
72040266043121
oct326630337201
982365077551
1028829662849
1111254658449
125706bb4801
132945a88300
141576c3ac81
15b3aeec4d4
hex6b661be81

28829662849 has 27 divisors (see below), whose sum is σ = 32175598203. Its totient is φ = 25819402752.

The previous prime is 28829662783. The next prime is 28829662853. The reversal of 28829662849 is 94826692882.

The square root of 28829662849 is 169793.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 15273252225 + 13556410624 = 123585^2 + 116432^2 .

It is not a de Polignac number, because 28829662849 - 211 = 28829660801 is a prime.

It is a super-2 number, since 2×288296628492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28829662349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 81670257 + ... + 81670609.

Almost surely, 228829662849 is an apocalyptic number.

28829662849 is the 169793-rd square number.

28829662849 is the 84897-th centered octagonal number.

It is an amenable number.

28829662849 is a deficient number, since it is larger than the sum of its proper divisors (3345935354).

28829662849 is an frugal number, since it uses more digits than its factorization.

28829662849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 64.

Multiplying 28829662849 by its sum of digits (64), we get a square (1845098422336 = 13583442).

The spelling of 28829662849 in words is "twenty-eight billion, eight hundred twenty-nine million, six hundred sixty-two thousand, eight hundred forty-nine".

Divisors: 1 13 37 169 353 481 1369 4589 6253 13061 17797 59657 124609 169793 231361 483257 1619917 2207309 4610533 6282341 21058921 59936929 81670433 170589721 779180077 2217666373 28829662849