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5028108288 = 21137116911
BaseRepresentation
bin1001010111011001…
…01101100000000000
3110222102021100212220
410223230231200000
540244143431123
62150533451040
7235413133560
oct45354554000
913872240786
105028108288
1121502661a5
12b83aa0a80
13621920808
14359adada0
151e6659ce3
hex12bb2d800

5028108288 has 96 divisors (see below), whose sum is σ = 15320148480. Its totient is φ = 1436590080.

The previous prime is 5028108287. The next prime is 5028108313. The reversal of 5028108288 is 8828018205.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5028108287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15448 + ... + 101463.

It is an arithmetic number, because the mean of its divisors is an integer number (159584880).

Almost surely, 25028108288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5028108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7660074240).

5028108288 is an abundant number, since it is smaller than the sum of its proper divisors (10292040192).

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

5028108288 is a wasteful number, since it uses less digits than its factorization.

5028108288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116943 (or 116923 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 5028108288 is about 70909.1551775933. The cubic root of 5028108288 is about 1713.1742606264.

The spelling of 5028108288 in words is "five billion, twenty-eight million, one hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 116911 233822 350733 467644 701466 818377 935288 1402932 1636754 1870576 2455131 2805864 3273508 3741152 4910262 5611728 6547016 7482304 9820524 11223456 13094032 14964608 19641048 22446912 26188064 29929216 39282096 44893824 52376128 59858432 78564192 89787648 104752256 119716864 157128384 179575296 209504512 239433728 314256768 359150592 419009024 628513536 718301184 838018048 1257027072 1676036096 2514054144 5028108288