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28854457956 = 223494372
BaseRepresentation
bin11010110111110111…
…000001011001100100
32202110220202100010000
4122313313001121210
5433043220123311
621131111101300
72041016563062
oct326767013144
982426670100
1028854457956
1111267653375
125713371830
13294ac5a17c
14157a253032
15b3d299056
hex6b7dc1664

28854457956 has 45 divisors (see below), whose sum is σ = 75439246729. Its totient is φ = 9617133456.

The previous prime is 28854457871. The next prime is 28854457981. The reversal of 28854457956 is 65975445882.

The square root of 28854457956 is 169866.

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

28854457956 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 4 + 4 + 579 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16448062500 + 12406395456 = 128250^2 + 111384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 28854457893 and 28854457902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3052870 + ... + 3062306.

Almost surely, 228854457956 is an apocalyptic number.

28854457956 is the 169866-th square number.

It is an amenable number.

28854457956 is an abundant number, since it is smaller than the sum of its proper divisors (46584788773).

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

28854457956 is an frugal number, since it uses more digits than its factorization.

28854457956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18890 (or 9442 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

It can be divided in two parts, 2885445 and 7956, that added together give a square (2893401 = 17012).

The spelling of 28854457956 in words is "twenty-eight billion, eight hundred fifty-four million, four hundred fifty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 9437 18874 28311 37748 56622 84933 113244 169866 254799 339732 509598 764397 1019196 1528794 3057588 89056969 178113938 267170907 356227876 534341814 801512721 1068683628 1603025442 2404538163 3206050884 4809076326 7213614489 9618152652 14427228978 28854457956