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28220229648 = 243213891071583
BaseRepresentation
bin11010010010000011…
…101000100000010000
32200211201100012102200
4122102003220200100
5430243334322043
620544133243200
72016215665002
oct322203504020
980751305380
1028220229648
1110a71647246
125576a93500
132879738b50
141519d1a372
15b027697d3
hex6920e8810

28220229648 has 240 divisors, whose sum is σ = 86866940160. Its totient is φ = 8499972096.

The previous prime is 28220229647. The next prime is 28220229649. The reversal of 28220229648 is 84692202282.

It is an interprime number because it is at equal distance from previous prime (28220229647) and next prime (28220229649).

It is a super-2 number, since 2×282202296482 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28220229641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17826265 + ... + 17827847.

It is an arithmetic number, because the mean of its divisors is an integer number (361945584).

Almost surely, 228220229648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28220229648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43433470080).

28220229648 is an abundant number, since it is smaller than the sum of its proper divisors (58646710512).

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

28220229648 is a wasteful number, since it uses less digits than its factorization.

28220229648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28220229648 in words is "twenty-eight billion, two hundred twenty million, two hundred twenty-nine thousand, six hundred forty-eight".