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28609394688 = 211327221737
BaseRepresentation
bin11010101001010000…
…001011100000000000
32201211211121211111200
4122221100023200000
5432043001112223
621050514341200
72031652561650
oct325120134000
981754554450
1028609394688
1111151291746
12566528a800
13290c255814
1415558a0360
15b269dca43
hex6a940b800

28609394688 has 144 divisors (see below), whose sum is σ = 94433779440. Its totient is φ = 8174075904.

The previous prime is 28609394659. The next prime is 28609394713. The reversal of 28609394688 is 88649390682.

28609394688 is a `hidden beast` number, since 2 + 86 + 0 + 93 + 9 + 468 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18156 + ... + 239892.

It is an arithmetic number, because the mean of its divisors is an integer number (655790135).

Almost surely, 228609394688 is an apocalyptic number.

28609394688 is a gapful number since it is divisible by the number (28) 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 28609394688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47216889720).

28609394688 is an abundant number, since it is smaller than the sum of its proper divisors (65824384752).

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

28609394688 is a wasteful number, since it uses less digits than its factorization.

28609394688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221772 (or 221749 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 28609394688 in words is "twenty-eight billion, six hundred nine million, three hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 18432 21504 32256 43008 64512 129024 221737 443474 665211 886948 1330422 1552159 1773896 1995633 2660844 3104318 3547792 3991266 4656477 5321688 6208636 7095584 7982532 9312954 10643376 12417272 13969431 14191168 15965064 18625908 21286752 24834544 27938862 28382336 31930128 37251816 42573504 49669088 55877724 56764672 63860256 74503632 85147008 99338176 111755448 113529344 127720512 149007264 170294016 198676352 223510896 227058688 255441024 298014528 340588032 397352704 447021792 454117376 510882048 596029056 681176064 794705408 894043584 1021764096 1192058112 1362352128 1589410816 1788087168 2043528192 2384116224 3178821632 3576174336 4087056384 4768232448 7152348672 9536464896 14304697344 28609394688