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28923336000 = 2632531322377
BaseRepresentation
bin11010111011111101…
…110001010101000000
32202122201100201000200
4122323331301111000
5433213333223000
621142011245200
72042514204516
oct327375612500
982581321020
1028923336000
11112a2518479
125732449800
13295c2c5100
1415854624b6
15b44352500
hex6bbf71540

28923336000 has 504 divisors, whose sum is σ = 112081674744. Its totient is φ = 7116595200.

The previous prime is 28923335993. The next prime is 28923336011. The reversal of 28923336000 is 63332982.

28923336000 is a `hidden beast` number, since 28 + 9 + 23 + 3 + 3 + 600 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 28442147904 + 481188096 = 168648^2 + 21936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12166812 + ... + 12169188.

Almost surely, 228923336000 is an apocalyptic number.

28923336000 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 28923336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56040837372).

28923336000 is an abundant number, since it is smaller than the sum of its proper divisors (83158338744).

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

28923336000 is a wasteful number, since it uses less digits than its factorization.

28923336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 28923336000 its reverse (63332982), we get a palindrome (28986668982).

The spelling of 28923336000 in words is "twenty-eight billion, nine hundred twenty-three million, three hundred thirty-six thousand".