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428366988 = 223375310691
BaseRepresentation
bin11001100010000…
…101110010001100
31002212001022001000
4121202011302030
51334130220423
6110301220300
713421026230
oct3142056214
91085038030
10428366988
111aa890505
12bb561690
136a9941ba
1440c6a5c0
1527918843
hex19885c8c

428366988 has 96 divisors (see below), whose sum is σ = 1293304320. Its totient is φ = 120070080.

The previous prime is 428366971. The next prime is 428367029. The reversal of 428366988 is 889663824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34723 + ... + 45413.

It is an arithmetic number, because the mean of its divisors is an integer number (13471920).

Almost surely, 2428366988 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 428366988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646652160).

428366988 is an abundant number, since it is smaller than the sum of its proper divisors (864937332).

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

428366988 is a wasteful number, since it uses less digits than its factorization.

428366988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10764 (or 10756 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 428366988 is about 20697.0284823692. The cubic root of 428366988 is about 753.8275373813.

The spelling of 428366988 in words is "four hundred twenty-eight million, three hundred sixty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 10691 13356 20034 21382 32073 40068 42764 64146 74837 96219 128292 149674 192438 224511 288657 299348 384876 449022 566623 577314 673533 898044 1133246 1154628 1347066 1699869 2020599 2266492 2694132 3399738 3966361 4041198 5099607 6799476 7932722 8082396 10199214 11899083 15298821 15865444 20398428 23798166 30597642 35697249 47596332 61195284 71394498 107091747 142788996 214183494 428366988