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28296162864 = 2434127171917
BaseRepresentation
bin11010010110100101…
…010010111000110000
32201001000020000020000
4122112211102320300
5430422304202424
620555444550000
72021130262434
oct322645227060
981030200200
1028296162864
111100049aa72
1255983b2300
13288c3a4148
1415260449c4
15b092683c9
hex696952e30

28296162864 has 100 divisors (see below), whose sum is σ = 82542645504. Its totient is φ = 9357731712.

The previous prime is 28296162859. The next prime is 28296162871. The reversal of 28296162864 is 46826169282.

28296162864 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 6 + 1 + 628 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 28296162864.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78634 + ... + 250550.

Almost surely, 228296162864 is an apocalyptic number.

28296162864 is a gapful number since it is divisible by the number (24) 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 28296162864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41271322752).

28296162864 is an abundant number, since it is smaller than the sum of its proper divisors (54246482640).

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

28296162864 is a wasteful number, since it uses less digits than its factorization.

28296162864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172064 (or 172049 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 28296162864 in words is "twenty-eight billion, two hundred ninety-six million, one hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 254 324 381 432 508 648 762 1016 1143 1296 1524 2032 2286 3048 3429 4572 6096 6858 9144 10287 13716 18288 20574 27432 41148 54864 82296 164592 171917 343834 515751 687668 1031502 1375336 1547253 2063004 2750672 3094506 4126008 4641759 6189012 8252016 9283518 12378024 13925277 18567036 21833459 24756048 27850554 37134072 43666918 55701108 65500377 74268144 87333836 111402216 131000754 174667672 196501131 222804432 262001508 349335344 393002262 524003016 589503393 786004524 1048006032 1179006786 1572009048 1768510179 2358013572 3144018096 3537020358 4716027144 7074040716 9432054288 14148081432 28296162864