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728813629 is a prime number
BaseRepresentation
bin101011011100001…
…101000000111101
31212210101120100101
4223130031000331
52443034014004
6200153001101
724026546035
oct5334150075
91783346311
10728813629
1134443a515
121840b3191
13b7cba38b
146cb188c5
1543eb4ba4
hex2b70d03d

728813629 has 2 divisors, whose sum is σ = 728813630. Its totient is φ = 728813628.

The previous prime is 728813597. The next prime is 728813693. The reversal of 728813629 is 926318827.

728813629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 677404729 + 51408900 = 26027^2 + 7170^2 .

It is a cyclic number.

It is not a de Polignac number, because 728813629 - 25 = 728813597 is a prime.

It is a super-2 number, since 2×7288136292 = 1062338611632299282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (728813699) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 364406814 + 364406815.

It is an arithmetic number, because the mean of its divisors is an integer number (364406815).

Almost surely, 2728813629 is an apocalyptic number.

It is an amenable number.

728813629 is a deficient number, since it is larger than the sum of its proper divisors (1).

728813629 is an equidigital number, since it uses as much as digits as its factorization.

728813629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 290304, while the sum is 46.

The square root of 728813629 is about 26996.5484645723. The cubic root of 728813629 is about 899.9232975785.

It can be divided in two parts, 72 and 8813629, that added together give a triangular number (8813701 = T4198).

The spelling of 728813629 in words is "seven hundred twenty-eight million, eight hundred thirteen thousand, six hundred twenty-nine".