7828729 has 2 divisors, whose sum is σ = 7828730. Its totient is φ = 7828728.

The previous prime is 7828699. The next prime is 7828747. The reversal of 7828729 is 9278287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5992704 + 1836025 = 2448^2 + 1355^2 .

It is a cyclic number.

It is not a de Polignac number, because 7828729 - 2⁵ = 7828697 is a prime.

It is a super-2 number, since 2×7828729² = 122577995510882, which contains 22 as substring.

7828729 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (7828129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3914364 + 3914365.

It is an arithmetic number, because the mean of its divisors is an integer number (3914365).

Almost surely, 2^7828729 is an apocalyptic number.

It is an amenable number.

7828729 is a deficient number, since it is larger than the sum of its proper divisors (1).

7828729 is an equidigital number, since it uses as much as digits as its factorization.

7828729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 112896, while the sum is 43.

The square root of 7828729 is about 2797.9865975376. The cubic root of 7828729 is about 198.5624334358.

The spelling of 7828729 in words is "seven million, eight hundred twenty-eight thousand, seven hundred twenty-nine".