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28247095296 = 211327376197
BaseRepresentation
bin11010010011101010…
…000111100000000000
32200220120220010011200
4122103222013200000
5430322224022141
620550533141200
72016663230340
oct322352074000
980816803150
1028247095296
1110a85826862
125583a8a800
132882184294
14151d710d20
15b04cc4ab6
hex693a87800

28247095296 has 576 divisors, whose sum is σ = 98330581440. Its totient is φ = 7644119040.

The previous prime is 28247095291. The next prime is 28247095309. The reversal of 28247095296 is 69259074282.

28247095296 is a `hidden beast` number, since 2 + 82 + 470 + 9 + 5 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×282470952962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28247095291) 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 47 ways as a sum of consecutive naturals, for example, 291207120 + ... + 291207216.

It is an arithmetic number, because the mean of its divisors is an integer number (170712815).

Almost surely, 228247095296 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 28247095296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49165290720).

28247095296 is an abundant number, since it is smaller than the sum of its proper divisors (70083486144).

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

28247095296 is a wasteful number, since it uses less digits than its factorization.

28247095296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28247095296 in words is "twenty-eight billion, two hundred forty-seven million, ninety-five thousand, two hundred ninety-six".