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1428285537 = 327193161631
BaseRepresentation
bin101010100100001…
…1110100001100001
310200112120102102100
41111020132201201
510411120114122
6353421041013
750252140530
oct12510364141
93615512370
101428285537
11673259078
1233a3b6169
13199ba3293
14d7996317
15855d0aac
hex5521e861

1428285537 has 96 divisors (see below), whose sum is σ = 2608087040. Its totient is φ = 734832000.

The previous prime is 1428285517. The next prime is 1428285557. The reversal of 1428285537 is 7355828241.

1428285537 is a `hidden beast` number, since 14 + 2 + 82 + 8 + 553 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (1428285517) and next prime (1428285557).

It is not a de Polignac number, because 1428285537 - 215 = 1428252769 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1428285492 and 1428285501.

It is not an unprimeable number, because it can be changed into a prime (1428285517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2263212 + ... + 2263842.

Almost surely, 21428285537 is an apocalyptic number.

It is an amenable number.

1428285537 is a deficient number, since it is larger than the sum of its proper divisors (1179801503).

1428285537 is a wasteful number, since it uses less digits than its factorization.

1428285537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 752 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 1428285537 is about 37792.6651216873. The cubic root of 1428285537 is about 1126.1727456501.

The spelling of 1428285537 in words is "one billion, four hundred twenty-eight million, two hundred eighty-five thousand, five hundred thirty-seven".

Divisors: 1 3 7 9 19 21 31 57 61 63 93 133 171 183 217 279 399 427 549 589 631 651 1159 1197 1281 1767 1891 1893 1953 3477 3843 4123 4417 5301 5673 5679 8113 10431 11989 12369 13237 13251 17019 19561 24339 35929 35967 37107 38491 39711 39753 58683 73017 83923 107787 107901 115473 119133 136927 176049 251503 251769 269437 323361 346419 371659 410781 731329 754509 755307 808311 1114977 1193221 1232343 2193987 2263527 2424933 2601613 3344931 3579663 5119303 6581961 7804839 8352547 10738989 15357909 22671199 23414517 25057641 46073727 68013597 75172923 158698393 204040791 476095179 1428285537