Search a number
-
+
28363351680 = 2732510134861
BaseRepresentation
bin11010011010100101…
…100110011010000000
32201012200122112221200
4122122211212122000
5431042004223210
621010245021200
72022604340256
oct323245463200
981180575850
1028363351680
1111035410a14
1255b69b4800
1328a029a241
141530d345d6
15b100db0c0
hex69a966680

28363351680 has 192 divisors, whose sum is σ = 98059052520. Its totient is φ = 7554539520.

The previous prime is 28363351663. The next prime is 28363351691. The reversal of 28363351680 is 8615336382.

28363351680 is a `hidden beast` number, since 2 + 8 + 3 + 633 + 5 + 1 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19705421376 + 8657930304 = 140376^2 + 93048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5832450 + ... + 5837310.

Almost surely, 228363351680 is an apocalyptic number.

28363351680 is a gapful number since it is divisible by the number (20) 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 28363351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029526260).

28363351680 is an abundant number, since it is smaller than the sum of its proper divisors (69695700840).

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

28363351680 is a wasteful number, since it uses less digits than its factorization.

28363351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 28363351680 in words is "twenty-eight billion, three hundred sixty-three million, three hundred fifty-one thousand, six hundred eighty".