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28281011328 = 27343187991
BaseRepresentation
bin11010010101101011…
…011111110010000000
32200222221201020020000
4122111223133302000
5430404414330303
620554144120000
72020554426033
oct322553376200
980887636200
1028281011328
1110aa2991439
125593306000
1328891ca83b
14152401d01a
15b07c73da3
hex695adfc80

28281011328 has 160 divisors (see below), whose sum is σ = 86879781120. Its totient is φ = 9122803200.

The previous prime is 28281011327. The next prime is 28281011329. The reversal of 28281011328 is 82311018282.

It is an interprime number because it is at equal distance from previous prime (28281011327) and next prime (28281011329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28281011292 and 28281011301.

It is not an unprimeable number, because it can be changed into a prime (28281011321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277413 + ... + 365403.

It is an arithmetic number, because the mean of its divisors is an integer number (542998632).

Almost surely, 228281011328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28281011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43439890560).

28281011328 is an abundant number, since it is smaller than the sum of its proper divisors (58598769792).

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

28281011328 is an equidigital number, since it uses as much as digits as its factorization.

28281011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88048 (or 88027 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 28281011328 in words is "twenty-eight billion, two hundred eighty-one million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 432 496 558 576 648 744 837 864 992 1116 1152 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 3456 3968 4464 5022 5184 5952 6696 8928 10044 10368 11904 13392 17856 20088 26784 35712 40176 53568 80352 87991 107136 160704 175982 263973 321408 351964 527946 703928 791919 1055892 1407856 1583838 2111784 2375757 2727721 2815712 3167676 4223568 4751514 5455442 5631424 6335352 7127271 8183163 8447136 9503028 10910884 11262848 12670704 14254542 16366326 16894272 19006056 21821768 24549489 25341408 28509084 32732652 33788544 38012112 43643536 49098978 50682816 57018168 65465304 73648467 76024224 87287072 98197956 101365632 114036336 130930608 147296934 152048448 174574144 196395912 220945401 228072672 261861216 294593868 304096896 349148288 392791824 441890802 456145344 523722432 589187736 785583648 883781604 912290688 1047444864 1178375472 1571167296 1767563208 2356750944 3142334592 3535126416 4713501888 7070252832 9427003776 14140505664 28281011328