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28283166976 = 282324572
BaseRepresentation
bin11010010101110011…
…101110000100000000
32201000002202202012211
4122111303232010000
5430410442320401
620554302231504
72020611644521
oct322563560400
981002682184
1028283166976
1110aa4123a69
125593b85594
1328897a3a7c
141524420848
15b0804c951
hex695cee100

28283166976 has 81 divisors (see below), whose sum is σ = 59146599981. Its totient is φ = 13497133056.

The previous prime is 28283166973. The next prime is 28283166979. The reversal of 28283166976 is 67966138282.

The square root of 28283166976 is 168176.

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

It is an interprime number because it is at equal distance from previous prime (28283166973) and next prime (28283166979).

It can be written as a sum of positive squares in only one way, i.e., 24460960000 + 3822206976 = 156400^2 + 61824^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28283166976.

It is not an unprimeable number, because it can be changed into a prime (28283166973) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61888540 + ... + 61888996.

Almost surely, 228283166976 is an apocalyptic number.

28283166976 is the 168176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28283166976

28283166976 is an abundant number, since it is smaller than the sum of its proper divisors (30863433005).

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

28283166976 is an frugal number, since it uses more digits than its factorization.

28283166976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 482 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 58.

The spelling of 28283166976 in words is "twenty-eight billion, two hundred eighty-three million, one hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 457 529 736 914 1058 1472 1828 2116 2944 3656 4232 5888 7312 8464 10511 14624 16928 21022 29248 33856 42044 58496 67712 84088 116992 135424 168176 208849 241753 336352 417698 483506 672704 835396 967012 1345408 1670792 1934024 2690816 3341584 3868048 4803527 6683168 7736096 9607054 13366336 15472192 19214108 26732672 30944384 38428216 53465344 61888768 76856432 110481121 153712864 220962242 307425728 441924484 614851456 883848968 1229702912 1767697936 3535395872 7070791744 14141583488 28283166976