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1428728574 = 2372131572381
BaseRepresentation
bin101010100101000…
…1010101011111110
310200120101221011010
41111022022223332
510411223303244
6353434340050
750255664300
oct12512125376
93616357133
101428728574
11673530a19
1233a58a626
13199cc9b30
14d7a6d970
158566beb9
hex5528aafe

1428728574 has 96 divisors (see below), whose sum is σ = 3603985056. Its totient is φ = 374250240.

The previous prime is 1428728563. The next prime is 1428728611. The reversal of 1428728574 is 4758278241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598864 + ... + 601244.

It is an arithmetic number, because the mean of its divisors is an integer number (37541511).

Almost surely, 21428728574 is an apocalyptic number.

1428728574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428728574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801992528).

1428728574 is an abundant number, since it is smaller than the sum of its proper divisors (2175256482).

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

1428728574 is a wasteful number, since it uses less digits than its factorization.

1428728574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2563 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 48.

The square root of 1428728574 is about 37798.5260823752. The cubic root of 1428728574 is about 1126.2891753608.

The spelling of 1428728574 in words is "one billion, four hundred twenty-eight million, seven hundred twenty-eight thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 157 182 273 294 314 471 546 637 942 1099 1274 1911 2041 2198 2381 3297 3822 4082 4762 6123 6594 7143 7693 12246 14286 14287 15386 16667 23079 28574 30953 33334 42861 46158 50001 61906 85722 92859 100002 100009 116669 185718 200018 216671 233338 300027 350007 373817 433342 600054 650013 700014 747634 1121451 1300026 1516697 2242902 2616719 3033394 4550091 4859621 5233438 7850157 9100182 9719242 14578863 15700314 18317033 29157726 34017347 36634066 54951099 68034694 102052041 109902198 204104082 238121429 476242858 714364287 1428728574