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28267923222 = 232711411373631
BaseRepresentation
bin11010010100111001…
…100100011100010110
32200222001002021201100
4122110321210130112
5430343042020342
620552555410530
72020335245220
oct322471443426
980861067640
1028267923222
1110a96562120
12558aa53a46
1328865974b6
1415223b3410
15b06a3ae4c
hex694e64716

28267923222 has 192 divisors, whose sum is σ = 78815213568. Its totient is φ = 7108992000.

The previous prime is 28267923199. The next prime is 28267923223. The reversal of 28267923222 is 22232976282.

It is a happy number.

28267923222 is a `hidden beast` number, since 282 + 67 + 92 + 3 + 222 = 666.

It is a super-2 number, since 2×282679232222 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28267923223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7783347 + ... + 7786977.

It is an arithmetic number, because the mean of its divisors is an integer number (410495904).

Almost surely, 228267923222 is an apocalyptic number.

28267923222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28267923222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39407606784).

28267923222 is an abundant number, since it is smaller than the sum of its proper divisors (50547290346).

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

28267923222 is a wasteful number, since it uses less digits than its factorization.

28267923222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3832 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 28267923222 in words is "twenty-eight billion, two hundred sixty-seven million, nine hundred twenty-three thousand, two hundred twenty-two".