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2828128020 = 2235377912473
BaseRepresentation
bin1010100010010001…
…1100111100010100
321022002121210022020
42220210130330110
521243000044040
61144344333140
7130040456124
oct25044347424
97262553266
102828128020
11122144a493
1266b1741b0
13360bc8143
141cb866c84
15118443cd0
hexa891cf14

2828128020 has 48 divisors (see below), whose sum is σ = 7921488960. Its totient is φ = 753907456.

The previous prime is 2828128013. The next prime is 2828128027. The reversal of 2828128020 is 208218282.

It is an interprime number because it is at equal distance from previous prime (2828128013) and next prime (2828128027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828128027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220504 + ... + 232976.

It is an arithmetic number, because the mean of its divisors is an integer number (165031020).

Almost surely, 22828128020 is an apocalyptic number.

2828128020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828128020 is an abundant number, since it is smaller than the sum of its proper divisors (5093360940).

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

2828128020 is a wasteful number, since it uses less digits than its factorization.

2828128020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264 (or 16262 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2828128020 is about 53180.1468595189. The cubic root of 2828128020 is about 1414.1637098247.

The spelling of 2828128020 in words is "two billion, eight hundred twenty-eight million, one hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3779 7558 11337 12473 15116 18895 22674 24946 37419 37790 45348 49892 56685 62365 74838 75580 113370 124730 149676 187095 226740 249460 374190 748380 47135467 94270934 141406401 188541868 235677335 282812802 471354670 565625604 707032005 942709340 1414064010 2828128020