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28892233728 = 215323132
BaseRepresentation
bin11010111010000111…
…001000000000000000
32202120112211112201200
4122322013020000000
5433132402434403
621134540501200
72041655635401
oct327207100000
982515745650
1028892233728
1111286a04916
125723b4a800
132955a254b7
1415812879a8
15b4175bca3
hex6ba1c8000

28892233728 has 144 divisors (see below), whose sum is σ = 83732693265. Its totient is φ = 9599975424.

The previous prime is 28892233717. The next prime is 28892233753. The reversal of 28892233728 is 82733229882.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28892233728 is a `hidden beast` number, since 288 + 9 + 2 + 2 + 337 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16746430464 + 12145803264 = 129408^2 + 110208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=120192.

It is a super-2 number, since 2×288922337282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 92307300 + ... + 92307612.

Almost surely, 228892233728 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 28892233728

28892233728 is an abundant number, since it is smaller than the sum of its proper divisors (54840459537).

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

28892233728 is an frugal number, since it uses more digits than its factorization.

28892233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 318 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 28892233728 in words is "twenty-eight billion, eight hundred ninety-two million, two hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 313 384 512 576 626 768 939 1024 1152 1252 1536 1878 2048 2304 2504 2817 3072 3756 4096 4608 5008 5634 6144 7512 8192 9216 10016 11268 12288 15024 16384 18432 20032 22536 24576 30048 32768 36864 40064 45072 49152 60096 73728 80128 90144 97969 98304 120192 147456 160256 180288 195938 240384 293907 294912 320512 360576 391876 480768 587814 641024 721152 783752 881721 961536 1175628 1282048 1442304 1567504 1763442 1923072 2351256 2564096 2884608 3135008 3526884 3846144 4702512 5128192 5769216 6270016 7053768 7692288 9405024 10256384 11538432 12540032 14107536 15384576 18810048 23076864 25080064 28215072 30769152 37620096 46153728 50160128 56430144 75240192 92307456 100320256 112860288 150480384 200640512 225720576 300960768 401281024 451441152 601921536 802562048 902882304 1203843072 1605124096 1805764608 2407686144 3210248192 3611529216 4815372288 7223058432 9630744576 14446116864 28892233728