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2428285410 = 2325792391429
BaseRepresentation
bin1001000010111100…
…1011000111100010
320021020020200100200
42100233023013202
514433120113120
61040542330030
7114114041205
oct22057130742
96236220320
102428285410
111036781851
12579289916
132c9110395
1419070393c
15e32b1e90
hex90bcb1e2

2428285410 has 96 divisors (see below), whose sum is σ = 6424704000. Its totient is φ = 636225408.

The previous prime is 2428285403. The next prime is 2428285417. The reversal of 2428285410 is 145828242.

It is an interprime number because it is at equal distance from previous prime (2428285403) and next prime (2428285417).

It is not an unprimeable number, because it can be changed into a prime (2428285417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1698576 + ... + 1700004.

It is an arithmetic number, because the mean of its divisors is an integer number (66924000).

Almost surely, 22428285410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428285410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212352000).

2428285410 is an abundant number, since it is smaller than the sum of its proper divisors (3996418590).

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

2428285410 is a wasteful number, since it uses less digits than its factorization.

2428285410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2428285410 is about 49277.6360025519. The cubic root of 2428285410 is about 1344.1051449681.

The spelling of 2428285410 in words is "two billion, four hundred twenty-eight million, two hundred eighty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 79 90 158 237 239 395 474 478 711 717 790 1185 1195 1422 1429 1434 2151 2370 2390 2858 3555 3585 4287 4302 7110 7145 7170 8574 10755 12861 14290 18881 21435 21510 25722 37762 42870 56643 64305 94405 112891 113286 128610 169929 188810 225782 283215 338673 339858 341531 564455 566430 677346 683062 849645 1016019 1024593 1128910 1693365 1699290 1707655 2032038 2049186 3073779 3386730 3415310 5080095 5122965 6147558 10160190 10245930 15368895 26980949 30737790 53961898 80942847 134904745 161885694 242828541 269809490 404714235 485657082 809428470 1214142705 2428285410