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28870732800 = 210365271317
BaseRepresentation
bin11010111000110101…
…000110110000000000
32202112001101012000000
4122320311012300000
5433111401422200
621132452000000
72041305115440
oct327065066000
982461335000
1028870732800
1111275859958
125718900000
132951437b60
14157c48c120
15b3e911300
hex6b8d46c00

28870732800 has 1848 divisors, whose sum is σ = 139826738016. Its totient is φ = 5733089280.

The previous prime is 28870732799. The next prime is 28870732811. The reversal of 28870732800 is 823707882.

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 167 ways as a sum of consecutive naturals, for example, 1698278392 + ... + 1698278408.

Almost surely, 228870732800 is an apocalyptic number.

28870732800 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 28870732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69913369008).

28870732800 is an abundant number, since it is smaller than the sum of its proper divisors (110956005216).

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

28870732800 is a wasteful number, since it uses less digits than its factorization.

28870732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28870732800 in words is "twenty-eight billion, eight hundred seventy million, seven hundred thirty-two thousand, eight hundred".