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28438525128 = 23313691131909
BaseRepresentation
bin11010011111000100…
…010111010011001000
32201101221002202112110
4122133010113103020
5431220230301003
621021532142320
72024506321656
oct323704272310
981357082473
1028438525128
1111073895932
1256180079a0
1328b2a2a780
14153ad01dd6
15b169d9a03
hex69f1174c8

28438525128 has 64 divisors (see below), whose sum is σ = 76676644800. Its totient is φ = 8737585920.

The previous prime is 28438525121. The next prime is 28438525153. The reversal of 28438525128 is 82152583482.

It is a happy number.

It is a super-2 number, since 2×284385251282 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28438525121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 149638 + ... + 281546.

It is an arithmetic number, because the mean of its divisors is an integer number (1198072575).

Almost surely, 228438525128 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 28438525128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38338322400).

28438525128 is an abundant number, since it is smaller than the sum of its proper divisors (48238119672).

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

28438525128 is a wasteful number, since it uses less digits than its factorization.

28438525128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132622 (or 132618 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The spelling of 28438525128 in words is "twenty-eight billion, four hundred thirty-eight million, five hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 691 1382 2073 2764 4146 5528 8292 8983 16584 17966 26949 35932 53898 71864 107796 131909 215592 263818 395727 527636 791454 1055272 1582908 1714817 3165816 3429634 5144451 6859268 10288902 13718536 20577804 41155608 91149119 182298238 273447357 364596476 546894714 729192952 1093789428 1184938547 2187578856 2369877094 3554815641 4739754188 7109631282 9479508376 14219262564 28438525128