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28824348100 = 2252288243481
BaseRepresentation
bin11010110110000100…
…001010010111000100
32202101211002121011011
4122312010022113010
5433013013114400
621124113452004
72040202626202
oct326604122704
982354077134
1028824348100
1111251658399
125705271004
1329449471a2
141576256072
15b3a7ec8ba
hex6b610a5c4

28824348100 has 18 divisors (see below), whose sum is σ = 62548835594. Its totient is φ = 11529739200.

The previous prime is 28824348071. The next prime is 28824348103. The reversal of 28824348100 is 184342882.

It can be written as a sum of positive squares in 3 ways, for example, as 565393284 + 28258954816 = 23778^2 + 168104^2 .

It is a super-2 number, since 2×288243481002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28824348103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144121641 + ... + 144121840.

Almost surely, 228824348100 is an apocalyptic number.

28824348100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28824348100 is an abundant number, since it is smaller than the sum of its proper divisors (33724487494).

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

28824348100 is a wasteful number, since it uses less digits than its factorization.

28824348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288243495 (or 288243488 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 28824348100 in words is "twenty-eight billion, eight hundred twenty-four million, three hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 288243481 576486962 1152973924 1441217405 2882434810 5764869620 7206087025 14412174050 28824348100