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5728433625 = 325325719813
BaseRepresentation
bin1010101010111000…
…01111010111011001
3112210020001120122100
411111130033113121
543212434334000
62344232114013
7261645611445
oct52534172731
915706046570
105728433625
11247a607a72
12113a535909
13703a44cc5
143c4b1b825
15237d93a00
hex15570f5d9

5728433625 has 48 divisors (see below), whose sum is σ = 10367160336. Its totient is φ = 3043123200.

The previous prime is 5728433621. The next prime is 5728433719. The reversal of 5728433625 is 5263348275.

5728433625 is a `hidden beast` number, since 5 + 7 + 284 + 3 + 362 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2058618384 + 3669815241 = 45372^2 + 60579^2 .

It is not a de Polignac number, because 5728433625 - 22 = 5728433621 is a prime.

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 (5728433621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279219 + ... + 299031.

It is an arithmetic number, because the mean of its divisors is an integer number (215982507).

Almost surely, 25728433625 is an apocalyptic number.

It is an amenable number.

5728433625 is a deficient number, since it is larger than the sum of its proper divisors (4638726711).

5728433625 is a wasteful number, since it uses less digits than its factorization.

5728433625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20091 (or 20078 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 5728433625 is about 75686.4163836550. The cubic root of 5728433625 is about 1789.2813220329.

It can be divided in two parts, 57284 and 33625, that added together give a palindrome (90909).

The spelling of 5728433625 in words is "five billion, seven hundred twenty-eight million, four hundred thirty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 257 375 771 1125 1285 2313 3855 6425 11565 19275 19813 32125 57825 59439 96375 99065 178317 289125 297195 495325 891585 1485975 2476625 4457925 5091941 7429875 15275823 22289625 25459705 45827469 76379115 127298525 229137345 381895575 636492625 1145686725 1909477875 5728433625