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28709123976 = 23331341249367
BaseRepresentation
bin11010101111001100…
…100111011110001000
32202002210021121101000
4122233030213132020
5432244013431401
621104440055000
72034303345621
oct325714473610
982083247330
1028709123976
11111a2608845
125692764460
132926b03030
141564c20a48
15b3063c186
hex6af327788

28709123976 has 128 divisors (see below), whose sum is σ = 87977030400. Its totient is φ = 8618088960.

The previous prime is 28709123969. The next prime is 28709124001. The reversal of 28709123976 is 67932190782.

It is a super-5 number, since 5×287091239765 (a number of 53 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9556 + ... + 239811.

It is an arithmetic number, because the mean of its divisors is an integer number (687320550).

Almost surely, 228709123976 is an apocalyptic number.

28709123976 is a gapful number since it is divisible by the number (26) 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 28709123976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43988515200).

28709123976 is an abundant number, since it is smaller than the sum of its proper divisors (59267906424).

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

28709123976 is a wasteful number, since it uses less digits than its factorization.

28709123976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249436 (or 249426 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 28709123976 in words is "twenty-eight billion, seven hundred nine million, one hundred twenty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 82 104 108 117 123 156 164 216 234 246 312 328 351 369 468 492 533 702 738 936 984 1066 1107 1404 1476 1599 2132 2214 2808 2952 3198 4264 4428 4797 6396 8856 9594 12792 14391 19188 28782 38376 57564 115128 249367 498734 748101 997468 1496202 1994936 2244303 2992404 3241771 4488606 5984808 6483542 6732909 8977212 9725313 10224047 12967084 13465818 17954424 19450626 20448094 25934168 26931636 29175939 30672141 38901252 40896188 53863272 58351878 61344282 77802504 81792376 87527817 92016423 116703756 122688564 132912611 175055634 184032846 233407512 245377128 265825222 276049269 350111268 368065692 398737833 531650444 552098538 700222536 736131384 797475666 1063300888 1104197076 1196213499 1594951332 2208394152 2392426998 3189902664 3588640497 4784853996 7177280994 9569707992 14354561988 28709123976