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28909697280 = 2835233110559
BaseRepresentation
bin11010111011001001…
…101111100100000000
32202121202200210012220
4122323021233210000
5433201340303110
621140403051040
72042260241502
oct327311574400
982552623186
1028909697280
1111295852502
125729970a80
13295952b269
141583711d72
15b4305b370
hex6bb26f900

28909697280 has 288 divisors, whose sum is σ = 99462021120. Its totient is φ = 7135518720.

The previous prime is 28909697269. The next prime is 28909697287. The reversal of 28909697280 is 8279690982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (28909697287) 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 31 ways as a sum of consecutive naturals, for example, 2732641 + ... + 2743199.

It is an arithmetic number, because the mean of its divisors is an integer number (345354240).

Almost surely, 228909697280 is an apocalyptic number.

28909697280 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 28909697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49731010560).

28909697280 is an abundant number, since it is smaller than the sum of its proper divisors (70552323840).

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

28909697280 is a wasteful number, since it uses less digits than its factorization.

28909697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10623 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 28909697280 in words is "twenty-eight billion, nine hundred nine million, six hundred ninety-seven thousand, two hundred eighty".