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28462000240 = 2453112319323
BaseRepresentation
bin11010100000011101…
…111010100001110000
32201110120021102100001
4122200131322201300
5431242233001430
621024131235344
72025213003352
oct324035724160
981416242301
1028462000240
111108606a053
125623a48b54
1328b785987b
1415400930d2
15b18ac53ca
hex6a077a870

28462000240 has 80 divisors (see below), whose sum is σ = 68371623936. Its totient is φ = 11007417600.

The previous prime is 28462000223. The next prime is 28462000249. The reversal of 28462000240 is 4200026482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 28462000199 and 28462000208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28462000249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3048219 + ... + 3057541.

Almost surely, 228462000240 is an apocalyptic number.

28462000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28462000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34185811968).

28462000240 is an abundant number, since it is smaller than the sum of its proper divisors (39909623696).

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

28462000240 is a wasteful number, since it uses less digits than its factorization.

28462000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The spelling of 28462000240 in words is "twenty-eight billion, four hundred sixty-two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1231 1240 2462 2480 4924 6155 9323 9848 12310 18646 19696 24620 37292 38161 46615 49240 74584 76322 93230 98480 149168 152644 186460 190805 289013 305288 372920 381610 578026 610576 745840 763220 1156052 1445065 1526440 2312104 2890130 3052880 4624208 5780260 11476613 11560520 22953226 23121040 45906452 57383065 91812904 114766130 183625808 229532260 355775003 459064520 711550006 918129040 1423100012 1778875015 2846200024 3557750030 5692400048 7115500060 14231000120 28462000240