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28148303736 = 23337104917747
BaseRepresentation
bin11010001101110001…
…010000011101111000
32200122200222222122000
4122031301100131320
5430121431204421
620533043501000
72014353430320
oct321561203570
980580888560
1028148303736
1110a34a90243
125556987760
132867874837
141510556280
15aeb2ad226
hex68dc50778

28148303736 has 128 divisors (see below), whose sum is σ = 89449920000. Its totient is φ = 8034253056.

The previous prime is 28148303731. The next prime is 28148303737. The reversal of 28148303736 is 63730384182.

It is a super-2 number, since 2×281483037362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28148303691 and 28148303700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28148303731) 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 31 ways as a sum of consecutive naturals, for example, 1577215 + ... + 1594961.

It is an arithmetic number, because the mean of its divisors is an integer number (698827500).

Almost surely, 228148303736 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 28148303736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44724960000).

28148303736 is an abundant number, since it is smaller than the sum of its proper divisors (61301616264).

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

28148303736 is a wasteful number, since it uses less digits than its factorization.

28148303736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18818 (or 18808 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 28148303736 in words is "twenty-eight billion, one hundred forty-eight million, three hundred three thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1049 1512 2098 3147 4196 6294 7343 8392 9441 12588 14686 17747 18882 22029 25176 28323 29372 35494 37764 44058 53241 56646 58744 66087 70988 75528 88116 106482 113292 124229 132174 141976 159723 176232 198261 212964 226584 248458 264348 319446 372687 396522 425928 479169 496916 528696 638892 745374 793044 958338 993832 1118061 1277784 1490748 1586088 1916676 2236122 2981496 3354183 3833352 4472244 6708366 8944488 13416732 18616603 26833464 37233206 55849809 74466412 111699618 130316221 148932824 167549427 223399236 260632442 335098854 390948663 446798472 502648281 521264884 670197708 781897326 1005296562 1042529768 1172845989 1340395416 1563794652 2010593124 2345691978 3127589304 3518537967 4021186248 4691383956 7037075934 9382767912 14074151868 28148303736