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2828128380 = 2235711612149
BaseRepresentation
bin1010100010010001…
…1101000001111100
321022002121210210120
42220210131001330
521243000102010
61144344334540
7130040460150
oct25044350174
97262553716
102828128380
11122144a790
1266b174450
13360bc835c
141cb867060
15118443e70
hexa891d07c

2828128380 has 96 divisors (see below), whose sum is σ = 9872755200. Its totient is φ = 587662080.

The previous prime is 2828128379. The next prime is 2828128393. The reversal of 2828128380 is 838218282.

It is a super-2 number, since 2×28281283802 = 15996620267522848800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301455 + ... + 310694.

It is an arithmetic number, because the mean of its divisors is an integer number (102841200).

Almost surely, 22828128380 is an apocalyptic number.

2828128380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2828128380 is an abundant number, since it is smaller than the sum of its proper divisors (7044626820).

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

2828128380 is a wasteful number, since it uses less digits than its factorization.

2828128380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612179 (or 612177 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 2828128380 is about 53180.1502442406. The cubic root of 2828128380 is about 1414.1637698290.

It can be divided in two parts, 282812 and 8380, that added together give a palindrome (291192).

The spelling of 2828128380 in words is "two billion, eight hundred twenty-eight million, one hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 612149 1224298 1836447 2448596 3060745 3672894 4285043 6121490 6733639 7345788 8570086 9182235 12242980 12855129 13467278 17140172 18364470 20200917 21425215 25710258 26934556 33668195 36728940 40401834 42850430 47135473 51420516 64275645 67336390 80803668 85700860 94270946 101004585 128551290 134672780 141406419 188541892 202009170 235677365 257102580 282812838 404018340 471354730 565625676 707032095 942709460 1414064190 2828128380