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2128355328 = 2133117873
BaseRepresentation
bin111111011011100…
…0010000000000000
312111022212122122010
41332313002000000
513324324332303
6551110012520
7103512502401
oct17667020000
95438778563
102128355328
119a2445950
124b4947140
1327bc38368
1416294b9a8
15c6cb8c03
hex7edc2000

2128355328 has 112 divisors (see below), whose sum is σ = 6191987616. Its totient is φ = 644874240.

The previous prime is 2128355323. The next prime is 2128355371. The reversal of 2128355328 is 8235538212.

It is not an unprimeable number, because it can be changed into a prime (2128355323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266400 + ... + 274272.

Almost surely, 22128355328 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 2128355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095993808).

2128355328 is an abundant number, since it is smaller than the sum of its proper divisors (4063632288).

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

2128355328 is an equidigital number, since it uses as much as digits as its factorization.

2128355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7913 (or 7889 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 2128355328 is about 46134.1015735649. The cubic root of 2128355328 is about 1286.3171056211.

The spelling of 2128355328 in words is "two billion, one hundred twenty-eight million, three hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 7873 8192 8448 11264 12288 15746 16896 22528 23619 24576 31492 33792 45056 47238 62984 67584 86603 90112 94476 125968 135168 173206 188952 251936 259809 270336 346412 377904 503872 519618 692824 755808 1007744 1039236 1385648 1511616 2015488 2078472 2771296 3023232 4030976 4156944 5542592 6046464 8061952 8313888 11085184 12092928 16123904 16627776 22170368 24185856 32247808 33255552 44340736 48371712 64495616 66511104 88681472 96743424 133022208 177362944 193486848 266044416 354725888 532088832 709451776 1064177664 2128355328