Search a number
-
+
28389484368 = 243373414673
BaseRepresentation
bin11010011100001001…
…010010011101010000
32201021111211020021000
4122130021102131100
5431120201444433
621013021102000
72023342431000
oct323411223520
981244736230
1028389484368
111104913a883
1256036b7900
1328a5819b7b
1415345b8000
15b1254e113
hex69c252750

28389484368 has 320 divisors, whose sum is σ = 97368768000. Its totient is φ = 7911751680.

The previous prime is 28389484297. The next prime is 28389484393. The reversal of 28389484368 is 86348498382.

28389484368 is a `hidden beast` number, since 2 + 83 + 89 + 48 + 436 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6072880 + ... + 6077552.

It is an arithmetic number, because the mean of its divisors is an integer number (304277400).

Almost surely, 228389484368 is an apocalyptic number.

28389484368 is a gapful number since it is divisible by the number (28) 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 28389484368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48684384000).

28389484368 is an abundant number, since it is smaller than the sum of its proper divisors (68979283632).

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

28389484368 is a wasteful number, since it uses less digits than its factorization.

28389484368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4726 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 28389484368 in words is "twenty-eight billion, three hundred eighty-nine million, four hundred eighty-four thousand, three hundred sixty-eight".