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428928462 = 2321731103439
BaseRepresentation
bin11001100100001…
…110110111001110
31002220002211020100
4121210032313032
51334301202322
6110321231530
713425555204
oct3144166716
91086084210
10428928462
11200134336
12bb7925a6
136ab2c931
1440d75074
15279c9dac
hex1990edce

428928462 has 96 divisors (see below), whose sum is σ = 1027952640. Its totient is φ = 128666880.

The previous prime is 428928443. The next prime is 428928481. The reversal of 428928462 is 264829824.

428928462 is a `hidden beast` number, since 428 + 92 + 84 + 62 = 666.

It is an interprime number because it is at equal distance from previous prime (428928443) and next prime (428928481).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976839 + ... + 977277.

It is an arithmetic number, because the mean of its divisors is an integer number (10707840).

Almost surely, 2428928462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428928462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513976320).

428928462 is an abundant number, since it is smaller than the sum of its proper divisors (599024178).

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

428928462 is a wasteful number, since it uses less digits than its factorization.

428928462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 595 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 428928462 is about 20710.5881616143. The cubic root of 428928462 is about 754.1567486922.

The spelling of 428928462 in words is "four hundred twenty-eight million, nine hundred twenty-eight thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 103 153 186 206 279 306 309 439 527 558 618 878 927 1054 1317 1581 1751 1854 2634 3162 3193 3502 3951 4743 5253 6386 7463 7902 9486 9579 10506 13609 14926 15759 19158 22389 27218 28737 31518 40827 44778 45217 54281 57474 67167 81654 90434 108562 122481 134334 135651 162843 231353 244962 271302 325686 406953 462706 488529 694059 768689 813906 977058 1388118 1401727 1537378 2082177 2306067 2803454 4164354 4205181 4612134 6918201 8410362 12615543 13836402 23829359 25231086 47658718 71488077 142976154 214464231 428928462