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28250214084 = 223210922572
BaseRepresentation
bin11010010011110110…
…000000111011000100
32200220210202120100100
4122103312000323010
5430324023322314
620551124044100
72020031600121
oct322366007304
980823676310
1028250214084
1110a87566a74
125584b33630
132882a06a11
14151dcc3748
15b051ddc09
hex693d80ec4

28250214084 has 81 divisors (see below), whose sum is σ = 72352938567. Its totient is φ = 9294041088.

The previous prime is 28250214079. The next prime is 28250214101. The reversal of 28250214084 is 48041205282.

The square root of 28250214084 is 168078.

It is a perfect power (a square), and thus also a powerful number.

28250214084 is a `hidden beast` number, since 2 + 8 + 2 + 502 + 140 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16309844100 + 11940369984 = 127710^2 + 109272^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109922884 + ... + 109923140.

Almost surely, 228250214084 is an apocalyptic number.

28250214084 is the 168078-th square number.

It is an amenable number.

28250214084 is an abundant number, since it is smaller than the sum of its proper divisors (44102724483).

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

28250214084 is a wasteful number, since it uses less digits than its factorization.

28250214084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Multiplying 28250214084 by its sum of digits (36), we get a square (1017007707024 = 10084682).

28250214084 divided by its sum of digits (36) gives a square (784728169 = 280132).

The spelling of 28250214084 in words is "twenty-eight billion, two hundred fifty million, two hundred fourteen thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 257 327 436 514 654 771 981 1028 1308 1542 1962 2313 3084 3924 4626 9252 11881 23762 28013 35643 47524 56026 66049 71286 84039 106929 112052 132098 142572 168078 198147 213858 252117 264196 336156 396294 427716 504234 594441 792588 1008468 1188882 2377764 3053417 6106834 7199341 9160251 12213668 14398682 18320502 21598023 27480753 28797364 36641004 43196046 54961506 64794069 86392092 109923012 129588138 259176276 784728169 1569456338 2354184507 3138912676 4708369014 7062553521 9416738028 14125107042 28250214084