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28229850432 = 263572571009
BaseRepresentation
bin11010010010101000…
…010101010101000000
32200212101102222200000
4122102220111111000
5430303320203212
620545115400000
72016363524640
oct322250252500
980771388600
1028229850432
1110a77018503
12557a153000
13287b726c14
14151b302520
15b0351a1dc
hex692a15540

28229850432 has 336 divisors, whose sum is σ = 96368737920. Its totient is φ = 8026324992.

The previous prime is 28229850427. The next prime is 28229850443. The reversal of 28229850432 is 23405892282.

28229850432 is a `hidden beast` number, since 2 + 8 + 22 + 98 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27977544 + ... + 27978552.

It is an arithmetic number, because the mean of its divisors is an integer number (286811720).

Almost surely, 228229850432 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 28229850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48184368960).

28229850432 is an abundant number, since it is smaller than the sum of its proper divisors (68138887488).

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

28229850432 is a wasteful number, since it uses less digits than its factorization.

28229850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 28229850432 in words is "twenty-eight billion, two hundred twenty-nine million, eight hundred fifty thousand, four hundred thirty-two".