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28924255360 = 27571113223151
BaseRepresentation
bin11010111100000001…
…010001110010000000
32202122210002102011001
4122330001101302000
5433214102132420
621142043101344
72042525054050
oct327401216200
982583072131
1028924255360
11112a2a96180
125732811854
13295c557700
141585621560
15b44484b0a
hex6bc051c80

28924255360 has 768 divisors, whose sum is σ = 98054737920. Its totient is φ = 7907328000.

The previous prime is 28924255309. The next prime is 28924255411. The reversal of 28924255360 is 6355242982.

It is an interprime number because it is at equal distance from previous prime (28924255309) and next prime (28924255411).

It is a super-2 number, since 2×289242553602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 28924255360.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 191551285 + ... + 191551435.

It is an arithmetic number, because the mean of its divisors is an integer number (127675440).

Almost surely, 228924255360 is an apocalyptic number.

28924255360 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 28924255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49027368960).

28924255360 is an abundant number, since it is smaller than the sum of its proper divisors (69130482560).

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

28924255360 is a wasteful number, since it uses less digits than its factorization.

28924255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 28924255360 in words is "twenty-eight billion, nine hundred twenty-four million, two hundred fifty-five thousand, three hundred sixty".