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1428195768 = 2334710711833
BaseRepresentation
bin101010100100000…
…1000100110111000
310200112101212021120
41111020020212320
510411104231033
6353415105240
750251315026
oct12510104670
93615355246
101428195768
116731a768a
1233a372220
13199b7146c
14d7971716
15855b41b3
hex552089b8

1428195768 has 64 divisors (see below), whose sum is σ = 3680847360. Its totient is φ = 461542656.

The previous prime is 1428195767. The next prime is 1428195793. The reversal of 1428195768 is 8675918241.

It is a self number, because there is not a number n which added to its sum of digits gives 1428195768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428195767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114780 + ... + 126612.

It is an arithmetic number, because the mean of its divisors is an integer number (57513240).

Almost surely, 21428195768 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 1428195768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840423680).

1428195768 is an abundant number, since it is smaller than the sum of its proper divisors (2252651592).

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

1428195768 is a wasteful number, since it uses less digits than its factorization.

1428195768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996 (or 11992 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The square root of 1428195768 is about 37791.4774519335. The cubic root of 1428195768 is about 1126.1491515072.

The spelling of 1428195768 in words is "one billion, four hundred twenty-eight million, one hundred ninety-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 107 141 188 214 282 321 376 428 564 642 856 1128 1284 2568 5029 10058 11833 15087 20116 23666 30174 35499 40232 47332 60348 70998 94664 120696 141996 283992 556151 1112302 1266131 1668453 2224604 2532262 3336906 3798393 4449208 5064524 6673812 7596786 10129048 13347624 15193572 30387144 59508157 119016314 178524471 238032628 357048942 476065256 714097884 1428195768