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28136908800 = 21132527111361
BaseRepresentation
bin11010001101000101…
…110010100000000000
32200121220120001201100
4122031011302200000
5430111022040200
620531555334400
72014154531040
oct321505624000
980556501640
1028136908800
1110a29608040
125552bb1400
1328653b5080
14150cc2b720
15aea2abd00
hex68d172800

28136908800 has 1728 divisors, whose sum is σ = 137514948480. Its totient is φ = 5308416000.

The previous prime is 28136908799. The next prime is 28136908859. The reversal of 28136908800 is 880963182.

28136908800 is a `hidden beast` number, since 281 + 369 + 0 + 8 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 461260770 + ... + 461260830.

It is an arithmetic number, because the mean of its divisors is an integer number (79580410).

Almost surely, 228136908800 is an apocalyptic number.

28136908800 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 28136908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68757474240).

28136908800 is an abundant number, since it is smaller than the sum of its proper divisors (109378039680).

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

28136908800 is a wasteful number, since it uses less digits than its factorization.

28136908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 28136908800 in words is "twenty-eight billion, one hundred thirty-six million, nine hundred eight thousand, eight hundred".