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28307045088 = 25327831671013
BaseRepresentation
bin11010010111001110…
…110011101011100000
32201001202200212211100
4122113032303223200
5430433100420323
621000514114400
72021321625150
oct322716635340
981052625740
1028307045088
1111006652a43
12559bb7ba00
13289171442a
141527678760
15b0a1b7943
hex6973b3ae0

28307045088 has 288 divisors, whose sum is σ = 93756289536. Its totient is φ = 7934598144.

The previous prime is 28307045077. The next prime is 28307045131. The reversal of 28307045088 is 88054070382.

28307045088 is a `hidden beast` number, since 28 + 30 + 70 + 450 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×283070450882 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 27943270 + ... + 27944282.

It is an arithmetic number, because the mean of its divisors is an integer number (325542672).

Almost surely, 228307045088 is an apocalyptic number.

28307045088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28307045088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46878144768).

28307045088 is an abundant number, since it is smaller than the sum of its proper divisors (65449244448).

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

28307045088 is a wasteful number, since it uses less digits than its factorization.

28307045088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28307045088 in words is "twenty-eight billion, three hundred seven million, forty-five thousand, eighty-eight".