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428440698 = 233717611093
BaseRepresentation
bin11001100010010…
…111110001111010
31002212012001011000
4121202113301322
51334140100243
6110302545430
713421454150
oct3142276172
91085161130
10428440698
111aa930924
12bb598276
136a9bb90a
1440c893d0
15279305d3
hex19897c7a

428440698 has 128 divisors (see below), whose sum is σ = 1172067840. Its totient is φ = 113218560.

The previous prime is 428440697. The next prime is 428440763. The reversal of 428440698 is 896044824.

It is a super-2 number, since 2×4284406982 = 367122863405454408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428440697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391440 + ... + 392532.

It is an arithmetic number, because the mean of its divisors is an integer number (9156780).

Almost surely, 2428440698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428440698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586033920).

428440698 is an abundant number, since it is smaller than the sum of its proper divisors (743627142).

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

428440698 is a wasteful number, since it uses less digits than its factorization.

428440698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

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

The square root of 428440698 is about 20698.8090961775. The cubic root of 428440698 is about 753.8707724598.

The spelling of 428440698 in words is "four hundred twenty-eight million, four hundred forty thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 61 63 102 119 122 126 153 183 189 238 306 357 366 378 427 459 549 714 854 918 1037 1071 1093 1098 1281 1647 2074 2142 2186 2562 3111 3213 3279 3294 3843 6222 6426 6558 7259 7651 7686 9333 9837 11529 14518 15302 18581 18666 19674 21777 22953 23058 27999 29511 37162 43554 45906 55743 55998 59022 65331 66673 68859 111486 130067 130662 133346 137718 167229 195993 200019 206577 260134 334458 390201 391986 400038 413154 466711 501687 600057 780402 933422 1003374 1133441 1170603 1200114 1400133 1800171 2266882 2341206 2800266 3400323 3511809 3600342 4200399 6800646 7023618 7934087 8400798 10200969 12601197 15868174 20401938 23802261 25202394 30602907 47604522 61205814 71406783 142813566 214220349 428440698