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28896559344 = 24324323320029
BaseRepresentation
bin11010111010010111…
…101000000011110000
32202120211222022100200
4122322113220003300
5433140004344334
621135213315200
72042040462462
oct327227500360
982524868320
1028896559344
1111289399804
125725495b00
1329568ab333
141581a92132
15b41d13799
hex6ba5e80f0

28896559344 has 120 divisors (see below), whose sum is σ = 83110238640. Its totient is φ = 9367335936.

The previous prime is 28896559343. The next prime is 28896559357. The reversal of 28896559344 is 44395569882.

28896559344 is a `hidden beast` number, since 288 + 9 + 6 + 5 + 5 + 9 + 344 = 666.

It is a super-2 number, since 2×288965593442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28896559343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432722 + ... + 1452750.

It is an arithmetic number, because the mean of its divisors is an integer number (692585322).

Almost surely, 228896559344 is an apocalyptic number.

28896559344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28896559344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41555119320).

28896559344 is an abundant number, since it is smaller than the sum of its proper divisors (54213679296).

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

28896559344 is a wasteful number, since it uses less digits than its factorization.

28896559344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20319 (or 20310 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 63.

The spelling of 28896559344 in words is "twenty-eight billion, eight hundred ninety-six million, five hundred fifty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 233 258 344 387 466 516 688 699 774 932 1032 1398 1548 1864 2064 2097 2796 3096 3728 4194 5592 6192 8388 10019 11184 16776 20029 20038 30057 33552 40058 40076 60087 60114 80116 80152 90171 120174 120228 160232 160304 180261 180342 240348 240456 320464 360522 360684 480696 480912 721044 721368 861247 961392 1442088 1442736 1722494 2583741 2884176 3444988 4666757 5167482 6889976 7751223 9333514 10334964 13779952 14000271 15502446 18667028 20669928 28000542 31004892 37334056 41339856 42000813 56001084 62009784 74668112 84001626 112002168 124019568 168003252 200670551 224004336 336006504 401341102 602011653 672013008 802682204 1204023306 1605364408 1806034959 2408046612 3210728816 3612069918 4816093224 7224139836 9632186448 14448279672 28896559344