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1428922368 = 2133219381
BaseRepresentation
bin101010100101011…
…1010000000000000
310200120202202222200
41111022322000000
510411301003433
6353442433200
750260432266
oct12512720000
93616682880
101428922368
11673653585
1233a662800
1319a0670c3
14d7ac0436
15856a9613
hex552ba000

1428922368 has 84 divisors (see below), whose sum is σ = 4127958978. Its totient is φ = 476282880.

The previous prime is 1428922309. The next prime is 1428922393. The reversal of 1428922368 is 8632298241.

1428922368 is a `hidden beast` number, since 1 + 4 + 289 + 2 + 2 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1052872704 + 376049664 = 32448^2 + 19392^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64038 + ... + 83418.

Almost surely, 21428922368 is an apocalyptic number.

1428922368 is a gapful number since it is divisible by the number (18) 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 1428922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063979489).

1428922368 is an abundant number, since it is smaller than the sum of its proper divisors (2699036610).

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

1428922368 is an equidigital number, since it uses as much as digits as its factorization.

1428922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413 (or 19386 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1428922368 is about 37801.0895081081. The cubic root of 1428922368 is about 1126.3400966766.

The spelling of 1428922368 in words is "one billion, four hundred twenty-eight million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 19381 24576 36864 38762 58143 73728 77524 116286 155048 174429 232572 310096 348858 465144 620192 697716 930288 1240384 1395432 1860576 2480768 2790864 3721152 4961536 5581728 7442304 9923072 11163456 14884608 19846144 22326912 29769216 39692288 44653824 59538432 79384576 89307648 119076864 158769152 178615296 238153728 357230592 476307456 714461184 1428922368