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28634381824 = 29197313907
BaseRepresentation
bin11010101010101111…
…011111111000000000
32201220120122022102011
4122222233133320000
5432120400204244
621053210102304
72032405141516
oct325257377000
981816568364
1028634381824
11111643a8974
12567171a994
132914493bc9
141558d264b6
15b28cc6434
hex6aabdfe00

28634381824 has 80 divisors (see below), whose sum is σ = 57750576048. Its totient is φ = 14183350272.

The previous prime is 28634381819. The next prime is 28634381857. The reversal of 28634381824 is 42818343682.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31569979 + ... + 31570885.

Almost surely, 228634381824 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 28634381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28875288024).

28634381824 is an abundant number, since it is smaller than the sum of its proper divisors (29116194224).

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

28634381824 is an equidigital number, since it uses as much as digits as its factorization.

28634381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1419 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 49.

The spelling of 28634381824 in words is "twenty-eight billion, six hundred thirty-four million, three hundred eighty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 197 256 313 394 512 626 788 907 1252 1576 1814 2504 3152 3628 5008 6304 7256 10016 12608 14512 20032 25216 29024 40064 50432 58048 61661 80128 100864 116096 123322 160256 178679 232192 246644 283891 357358 464384 493288 567782 714716 986576 1135564 1429432 1973152 2271128 2858864 3946304 4542256 5717728 7892608 9084512 11435456 15785216 18169024 22870912 31570432 36338048 45741824 55926527 72676096 91483648 111853054 145352192 223706108 447412216 894824432 1789648864 3579297728 7158595456 14317190912 28634381824