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28360642816 = 281131193229
BaseRepresentation
bin11010011010011011…
…010001000100000000
32201012111112221002101
4122122123101010000
5431040311032231
621010111000144
72022542325562
oct323233210400
981174487071
1028360642816
1111033930790
1255b5b09054
13289c85c26c
14153082b332
15b0ec53661
hex69a6d1100

28360642816 has 72 divisors (see below), whose sum is σ = 61795843200. Its totient is φ = 12883077120.

The previous prime is 28360642813. The next prime is 28360642823. The reversal of 28360642816 is 61824606382.

It is not an unprimeable number, because it can be changed into a prime (28360642811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8781490 + ... + 8784718.

It is an arithmetic number, because the mean of its divisors is an integer number (858275600).

Almost surely, 228360642816 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 28360642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30897921600).

28360642816 is an abundant number, since it is smaller than the sum of its proper divisors (33435200384).

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

28360642816 is a wasteful number, since it uses less digits than its factorization.

28360642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6375 (or 6361 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

It can be divided in two parts, 28360 and 642816, that added together give a palindrome (671176).

The spelling of 28360642816 in words is "twenty-eight billion, three hundred sixty million, six hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 3119 3229 6238 6458 12476 12916 24952 25832 34309 35519 49904 51664 68618 71038 99808 103328 137236 142076 199616 206656 274472 284152 399232 413312 548944 568304 798464 826624 1097888 1136608 2195776 2273216 4391552 4546432 8783104 9092864 10071251 20142502 40285004 80570008 110783761 161140016 221567522 322280032 443135044 644560064 886270088 1289120128 1772540176 2578240256 3545080352 7090160704 14180321408 28360642816