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9625428288 = 26357217743
BaseRepresentation
bin10001111011011100…
…00110000101000000
3220211210221102100000
420331232012011000
5124203102201123
64231042200000
7460345535100
oct107556060500
926753842300
109625428288
11409a337813
121a47653000
13ba520ccc8
146744db200
153b506db43
hex23db86140

9625428288 has 504 divisors, whose sum is σ = 35287866432. Its totient is φ = 2584866816.

The previous prime is 9625428277. The next prime is 9625428289. The reversal of 9625428288 is 8828245269.

It is a happy number.

9625428288 is a `hidden beast` number, since 9 + 625 + 4 + 2 + 8 + 2 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×96254282882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9625428289) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12954445 + ... + 12955187.

It is an arithmetic number, because the mean of its divisors is an integer number (70015608).

Almost surely, 29625428288 is an apocalyptic number.

9625428288 is a gapful number since it is divisible by the number (98) 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 9625428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17643933216).

9625428288 is an abundant number, since it is smaller than the sum of its proper divisors (25662438144).

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

9625428288 is a wasteful number, since it uses less digits than its factorization.

9625428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 772 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 9625428288 is about 98109.2670852249. The cubic root of 9625428288 is about 2127.1919831644.

The spelling of 9625428288 in words is "nine billion, six hundred twenty-five million, four hundred twenty-eight thousand, two hundred eighty-eight".