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28763286552 = 233272112137173
BaseRepresentation
bin11010110010011011…
…001110110000011000
32202020120012100110100
4122302123032300120
5432401400132202
621114053015400
72035531621200
oct326233166030
982216170410
1028763286552
1111220141a00
1256a8924560
1329350b7cb0
14156c0bd400
15b3528a41c
hex6b26cec18

28763286552 has 864 divisors, whose sum is σ = 110268980640. Its totient is φ = 6706022400.

The previous prime is 28763286547. The next prime is 28763286557. The reversal of 28763286552 is 25568236782.

It is a happy number.

28763286552 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 3 + 2 + 86 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (28763286547) and next prime (28763286557).

Its product of digits (9676800) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28763286557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 394017588 + ... + 394017660.

It is an arithmetic number, because the mean of its divisors is an integer number (127626135).

Almost surely, 228763286552 is an apocalyptic number.

28763286552 is a gapful number since it is divisible by the number (22) 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 28763286552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55134490320).

28763286552 is an abundant number, since it is smaller than the sum of its proper divisors (81505694088).

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

28763286552 is a wasteful number, since it uses less digits than its factorization.

28763286552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 180 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 28763286552 in words is "twenty-eight billion, seven hundred sixty-three million, two hundred eighty-six thousand, five hundred fifty-two".