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6428635080 = 2335722334319
BaseRepresentation
bin1011111110010110…
…10010111111001000
3121121000121111110120
411333023102333020
5101131212310310
62541523543240
7315210332220
oct57713227710
917530544416
106428635080
1127a988475a
1212b4b2ab20
137b5b24caa
1444db09080
152795a5b70
hex17f2d2fc8

6428635080 has 128 divisors (see below), whose sum is σ = 22140518400. Its totient is φ = 1462770432.

The previous prime is 6428635069. The next prime is 6428635091. The reversal of 6428635080 is 805368246.

It is an interprime number because it is at equal distance from previous prime (6428635069) and next prime (6428635091).

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

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, 170161 + ... + 204479.

It is an arithmetic number, because the mean of its divisors is an integer number (172972800).

Almost surely, 26428635080 is an apocalyptic number.

6428635080 is a gapful number since it is divisible by the number (60) 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 6428635080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070259200).

6428635080 is an abundant number, since it is smaller than the sum of its proper divisors (15711883320).

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

6428635080 is a wasteful number, since it uses less digits than its factorization.

6428635080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34563 (or 34559 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6428635080 is about 80178.7695091413. The cubic root of 6428635080 is about 1859.4004195306.

The spelling of 6428635080 in words is "six billion, four hundred twenty-eight million, six hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 223 280 420 446 669 840 892 1115 1338 1561 1784 2230 2676 3122 3345 4460 4683 5352 6244 6690 7805 8920 9366 12488 13380 15610 18732 23415 26760 31220 34319 37464 46830 62440 68638 93660 102957 137276 171595 187320 205914 240233 274552 343190 411828 480466 514785 686380 720699 823656 960932 1029570 1201165 1372760 1441398 1921864 2059140 2402330 2882796 3603495 4118280 4804660 5765592 7206990 7653137 9609320 14413980 15306274 22959411 28827960 30612548 38265685 45918822 53571959 61225096 76531370 91837644 107143918 114797055 153062740 160715877 183675288 214287836 229594110 267859795 306125480 321431754 428575672 459188220 535719590 642863508 803579385 918376440 1071439180 1285727016 1607158770 2142878360 3214317540 6428635080