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5628663360 = 2632519293547
BaseRepresentation
bin1010011110111111…
…01001011001000000
3112112021022201120100
411033133221121000
543011414211420
62330305442400
7256324564155
oct51737513100
915467281510
105628663360
112429263101
121111040400
136b9181c48
143b578a22c
1522e237190
hex14f7e9640

5628663360 has 336 divisors, whose sum is σ = 21087892800. Its totient is φ = 1372557312.

The previous prime is 5628663349. The next prime is 5628663361. The reversal of 5628663360 is 633668265.

5628663360 is a `hidden beast` number, since 5 + 6 + 2 + 8 + 6 + 633 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5628663361) 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 47 ways as a sum of consecutive naturals, for example, 1585107 + ... + 1588653.

Almost surely, 25628663360 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 5628663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543946400).

5628663360 is an abundant number, since it is smaller than the sum of its proper divisors (15459229440).

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

5628663360 is a wasteful number, since it uses less digits than its factorization.

5628663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 5628663360 is about 75024.4184249368. The cubic root of 5628663360 is about 1778.8326478890.

The spelling of 5628663360 in words is "five billion, six hundred twenty-eight million, six hundred sixty-three thousand, three hundred sixty".