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28282182720 = 2635112992353
BaseRepresentation
bin11010010101101111…
…111101110001000000
32201000000220202001220
4122111233331301000
5430410214321340
620554225155040
72020600405131
oct322557756100
981000822056
1028282182720
1110aa3611530
12559378ba80
13288951aa7c
141524245c88
15b07e05ed0
hex695bfdc40

28282182720 has 224 divisors, whose sum is σ = 101338197120. Its totient is φ = 6619791360.

The previous prime is 28282182701. The next prime is 28282182763. The reversal of 28282182720 is 2728128282.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 260064 + ... + 352416.

Almost surely, 228282182720 is an apocalyptic number.

28282182720 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 28282182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50669098560).

28282182720 is an abundant number, since it is smaller than the sum of its proper divisors (73056014400).

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

28282182720 is a wasteful number, since it uses less digits than its factorization.

28282182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92413 (or 92403 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The spelling of 28282182720 in words is "twenty-eight billion, two hundred eighty-two million, one hundred eighty-two thousand, seven hundred twenty".