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28936908000 = 25325371121373
BaseRepresentation
bin11010111100110001…
…100010110011100000
32202200122220020022100
4122330301202303200
5433230322024000
621143214210400
72043040442160
oct327461426340
982618806270
1028936908000
11112aa148300
125736ab3a00
132962067790
1415871965a0
15b45633a00
hex6bcc62ce0

28936908000 has 1728 divisors, whose sum is σ = 140834768256. Its totient is φ = 5474304000.

The previous prime is 28936907947. The next prime is 28936908017. The reversal of 28936908000 is 80963982.

28936908000 is a `hidden beast` number, since 289 + 369 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 396395964 + ... + 396396036.

It is an arithmetic number, because the mean of its divisors is an integer number (81501602).

Almost surely, 228936908000 is an apocalyptic number.

28936908000 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 28936908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70417384128).

28936908000 is an abundant number, since it is smaller than the sum of its proper divisors (111897860256).

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

28936908000 is a wasteful number, since it uses less digits than its factorization.

28936908000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 28936908000 in words is "twenty-eight billion, nine hundred thirty-six million, nine hundred eight thousand".