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28585310432 = 2572348711393
BaseRepresentation
bin11010100111110100…
…010011100011100000
32201210011022020010012
4122213310103203200
5432020314413212
621044254224052
72031241062320
oct324764234340
981704266105
1028585310432
11111397318a8
1256591b5028
132907272393
1415525d1280
15b24831922
hex6a7d138e0

28585310432 has 96 divisors (see below), whose sum is σ = 67257050112. Its totient is φ = 11693113344.

The previous prime is 28585310431. The next prime is 28585310443. The reversal of 28585310432 is 23401358582.

It is a self number, because there is not a number n which added to its sum of digits gives 28585310432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28585310431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2503328 + ... + 2514720.

It is an arithmetic number, because the mean of its divisors is an integer number (700594272).

Almost surely, 228585310432 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 28585310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33628525056).

28585310432 is an abundant number, since it is smaller than the sum of its proper divisors (38671739680).

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

28585310432 is a wasteful number, since it uses less digits than its factorization.

28585310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11920 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 28585310432 in words is "twenty-eight billion, five hundred eighty-five million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 487 644 736 974 1288 1948 2576 3409 3896 5152 6818 7792 11201 11393 13636 15584 22402 22786 27272 44804 45572 54544 78407 79751 89608 91144 109088 156814 159502 179216 182288 262039 313628 319004 358432 364576 524078 627256 638008 1048156 1254512 1276016 1834273 2096312 2509024 2552032 3668546 4192624 5548391 7337092 8385248 11096782 14674184 22193564 29348368 38838737 44387128 58696736 77677474 88774256 127612993 155354948 177548512 255225986 310709896 510451972 621419792 893290951 1020903944 1242839584 1786581902 2041807888 3573163804 4083615776 7146327608 14292655216 28585310432