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28223639360 = 2657217113937
BaseRepresentation
bin11010010010010000…
…101000111101000000
32200211221202102200022
4122102100220331000
5430300222424420
620544334313012
72016256655600
oct322220507500
980757672608
1028223639360
1110a73565a94
125578058768
13287a360b27
14151a566c00
15b02bdec25
hex692428f40

28223639360 has 336 divisors, whose sum is σ = 83600720784. Its totient is φ = 9017229312.

The previous prime is 28223639359. The next prime is 28223639363. The reversal of 28223639360 is 6393632282.

It can be written as a sum of positive squares in 8 ways, for example, as 7122009664 + 21101629696 = 84392^2 + 145264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28223639363) 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, 30120812 + ... + 30121748.

It is an arithmetic number, because the mean of its divisors is an integer number (248811669).

Almost surely, 228223639360 is an apocalyptic number.

28223639360 is a gapful number since it is divisible by the number (20) 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 28223639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41800360392).

28223639360 is an abundant number, since it is smaller than the sum of its proper divisors (55377081424).

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

28223639360 is a wasteful number, since it uses less digits than its factorization.

28223639360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 28223639360 in words is "twenty-eight billion, two hundred twenty-three million, six hundred thirty-nine thousand, three hundred sixty".