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2128379328 = 26341724151
BaseRepresentation
bin111111011011100…
…0111110111000000
312111022220212120000
41332313013313000
513324331114303
6551110320000
7103512632355
oct17667076700
95438825500
102128379328
119a2461989
124b4959000
1327bc4626a
1416295662c
15c6cc0da3
hex7edc7dc0

2128379328 has 140 divisors (see below), whose sum is σ = 6680588112. Its totient is φ = 667699200.

The previous prime is 2128379303. The next prime is 2128379333. The reversal of 2128379328 is 8239738212.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (290304) is a multiple of the sum of its prime factors (24192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76053 + ... + 100203.

Almost surely, 22128379328 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 2128379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340294056).

2128379328 is an abundant number, since it is smaller than the sum of its proper divisors (4552208784).

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

2128379328 is a wasteful number, since it uses less digits than its factorization.

2128379328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24192 (or 24173 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2128379328 is about 46134.3616841070. The cubic root of 2128379328 is about 1286.3219405742.

The spelling of 2128379328 in words is "two billion, one hundred twenty-eight million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 24151 29376 44064 48302 72453 88128 96604 144906 193208 217359 289812 386416 410567 434718 579624 652077 772832 821134 869436 1159248 1231701 1304154 1545664 1642268 1738872 1956231 2318496 2463402 2608308 3284536 3477744 3695103 3912462 4636992 4926804 5216616 6569072 6955488 7390206 7824924 9853608 10433232 11085309 13138144 13910976 14780412 15649848 19707216 20866464 22170618 26276288 29560824 31299696 33255927 39414432 41732928 44341236 59121648 62599392 66511854 78828864 88682472 118243296 125198784 133023708 177364944 236486592 266047416 354729888 532094832 709459776 1064189664 2128379328