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28720006380 = 22345131797827
BaseRepresentation
bin11010101111110110…
…001000010011101100
32202010112202111020000
4122233312020103230
5432304310201010
621105505224300
72034465012012
oct325766102354
982115674200
1028720006380
11111a877096a
125696332090
132929143420
1415664548b2
15b3158b7c0
hex6afd884ec

28720006380 has 480 divisors, whose sum is σ = 103918199616. Its totient is φ = 6577127424.

The previous prime is 28720006369. The next prime is 28720006411. The reversal of 28720006380 is 8360002782.

It is a happy number.

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

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 159 ways as a sum of consecutive naturals, for example, 34727527 + ... + 34728353.

Almost surely, 228720006380 is an apocalyptic number.

28720006380 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 28720006380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51959099808).

28720006380 is an abundant number, since it is smaller than the sum of its proper divisors (75198193236).

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

28720006380 is a wasteful number, since it uses less digits than its factorization.

28720006380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 28720006380 in words is "twenty-eight billion, seven hundred twenty million, six thousand, three hundred eighty".