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28859686528 = 271132298713
BaseRepresentation
bin11010111000001010…
…111101111010000000
32202111021120222100211
4122320022331322000
5433101034432103
621131415123504
72041112200531
oct327012757200
982437528324
1028859686528
111126a5a4702
125715073594
13294c06acba
14157ac14688
15b3d97d36d
hex6b82bde80

28859686528 has 64 divisors (see below), whose sum is σ = 58262675400. Its totient is φ = 14238056448.

The previous prime is 28859686439. The next prime is 28859686547. The reversal of 28859686528 is 82568695882.

It can be written as a sum of positive squares in 4 ways, for example, as 28199813184 + 659873344 = 167928^2 + 25688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3307900 + ... + 3316612.

Almost surely, 228859686528 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 28859686528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29131337700).

28859686528 is an abundant number, since it is smaller than the sum of its proper divisors (29402988872).

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

28859686528 is a wasteful number, since it uses less digits than its factorization.

28859686528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9057 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 67.

The spelling of 28859686528 in words is "twenty-eight billion, eight hundred fifty-nine million, six hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 229 452 458 904 916 1808 1832 3616 3664 7232 7328 8713 14464 14656 17426 25877 29312 34852 51754 69704 103508 139408 207016 278816 414032 557632 828064 984569 1115264 1656128 1969138 1995277 3312256 3938276 3990554 7876552 7981108 15753104 15962216 31506208 31924432 63012416 63848864 126024832 127697728 225466301 255395456 450932602 901865204 1803730408 3607460816 7214921632 14429843264 28859686528