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5728193640 = 23345133141107
BaseRepresentation
bin1010101010110110…
…10100110001101000
3112210012121101110000
411111123110301220
543212404144030
62344223023000
7261643562001
oct52533246150
915705541400
105728193640
11247a463734
12113a43aa60
1370398c9c0
143c4a981a8
15237d47860
hex1556d4c68

5728193640 has 640 divisors, whose sum is σ = 22129873920. Its totient is φ = 1318809600.

The previous prime is 5728193633. The next prime is 5728193659. The reversal of 5728193640 is 463918275.

5728193640 is a `hidden beast` number, since 5 + 7 + 281 + 9 + 364 + 0 = 666.

5728193640 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

5728193640 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53534467 + ... + 53534573.

It is an arithmetic number, because the mean of its divisors is an integer number (34577928).

It is a 1-persistent number, because it is pandigital, but 2⋅5728193640 = 11456387280 is not.

Almost surely, 25728193640 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 5728193640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064936960).

5728193640 is an abundant number, since it is smaller than the sum of its proper divisors (16401680280).

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

5728193640 is a wasteful number, since it uses less digits than its factorization.

5728193640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5728193640 is about 75684.8309768873. The cubic root of 5728193640 is about 1789.2563351748.

The spelling of 5728193640 in words is "five billion, seven hundred twenty-eight million, one hundred ninety-three thousand, six hundred forty".