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2028938688 = 26327271887
BaseRepresentation
bin111100011101111…
…0010010111000000
312020101210202122100
41320323302113000
513123402014223
6533155110400
7101164460100
oct17073622700
95211722570
102028938688
11951312737
124875a2400
1326446a24a
1415366d200
15bd1cc043
hex78ef25c0

2028938688 has 126 divisors (see below), whose sum is σ = 6765164016. Its totient is φ = 579688704.

The previous prime is 2028938683. The next prime is 2028938701. The reversal of 2028938688 is 8868398202.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×20289386882 = 8233184399326322688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028938683) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7720 + ... + 64167.

Almost surely, 22028938688 is an apocalyptic number.

2028938688 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 2028938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382582008).

2028938688 is an abundant number, since it is smaller than the sum of its proper divisors (4736225328).

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

2028938688 is a wasteful number, since it uses less digits than its factorization.

2028938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71919 (or 71899 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 2028938688 is about 45043.7419404738. The cubic root of 2028938688 is about 1265.9687181088.

The spelling of 2028938688 in words is "two billion, twenty-eight million, nine hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 71887 143774 215661 287548 431322 503209 575096 646983 862644 1006418 1150192 1293966 1509627 1725288 2012836 2300384 2587932 3019254 3450576 3522463 4025672 4528881 4600768 5175864 6038508 6901152 7044926 8051344 9057762 10351728 10567389 12077016 13802304 14089852 16102688 18115524 20703456 21134778 24154032 28179704 31702167 32205376 36231048 41406912 42269556 48308064 56359408 63404334 72462096 84539112 96616128 112718816 126808668 144924192 169078224 225437632 253617336 289848384 338156448 507234672 676312896 1014469344 2028938688