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428550867360 = 2532571135310949
BaseRepresentation
bin1100011110001111001…
…11110100100110100000
31111222011110001201002200
412033013213310212200
524010133010223420
6524512404213200
742650614161240
oct6170747644640
91458143051080
10428550867360
11155824879650
126b08099a200
13315487112b5
1416a55d89b20
15b2331c4b90
hex63c79f49a0

428550867360 has 576 divisors, whose sum is σ = 1828621267200. Its totient is φ = 88789155840.

The previous prime is 428550867359. The next prime is 428550867373. The reversal of 428550867360 is 63768055824.

428550867360 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 508 + 6 + 73 + 60 = 666.

428550867360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 428550867297 and 428550867306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39135166 + ... + 39146114.

It is an arithmetic number, because the mean of its divisors is an integer number (3174689700).

Almost surely, 2428550867360 is an apocalyptic number.

428550867360 is a gapful number since it is divisible by the number (40) 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 428550867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914310633600).

428550867360 is an abundant number, since it is smaller than the sum of its proper divisors (1400070399840).

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

428550867360 is a wasteful number, since it uses less digits than its factorization.

428550867360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11341 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 428550867360 in words is "four hundred twenty-eight billion, five hundred fifty million, eight hundred sixty-seven thousand, three hundred sixty".