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1428795360 = 25325992219
BaseRepresentation
bin101010100101001…
…1010111111100000
310200120112022202200
41111022122333200
510411232422420
6353440013200
750256363066
oct12512327740
93616468680
101428795360
11673577113
1233a601200
1319a021355
14d7a8a036
1585681b90
hex5529afe0

1428795360 has 72 divisors (see below), whose sum is σ = 4875769080. Its totient is φ = 381011712.

The previous prime is 1428795341. The next prime is 1428795427. The reversal of 1428795360 is 635978241.

1428795360 is a `hidden beast` number, since 1 + 4 + 287 + 9 + 5 + 360 = 666.

1428795360 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

1428795360 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494670 + ... + 497549.

It is an arithmetic number, because the mean of its divisors is an integer number (67719015).

It is a 1-persistent number, because it is pandigital, but 2⋅1428795360 = 2857590720 is not.

Almost surely, 21428795360 is an apocalyptic number.

1428795360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1428795360 is an abundant number, since it is smaller than the sum of its proper divisors (3446973720).

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

1428795360 is a wasteful number, since it uses less digits than its factorization.

1428795360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992240 (or 992229 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1428795360 is about 37799.4095191975. The cubic root of 1428795360 is about 1126.3067245717.

The spelling of 1428795360 in words is "one billion, four hundred twenty-eight million, seven hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 992219 1984438 2976657 3968876 4961095 5953314 7937752 8929971 9922190 11906628 14883285 15875504 17859942 19844380 23813256 29766570 31751008 35719884 39688760 44649855 47626512 59533140 71439768 79377520 89299710 95253024 119066280 142879536 158755040 178599420 238132560 285759072 357198840 476265120 714397680 1428795360