820428741 has 12 divisors (see below), whose sum is σ = 1292796960. Its totient is φ = 497229480.

The previous prime is 820428731. The next prime is 820428769. The reversal of 820428741 is 147824028.

It is not a de Polignac number, because 820428741 - 2⁷ = 820428613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 820428696 and 820428705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820428701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4143481 + ... + 4143678.

It is an arithmetic number, because the mean of its divisors is an integer number (107733080).

Almost surely, 2^820428741 is an apocalyptic number.

It is an amenable number.

820428741 is a deficient number, since it is larger than the sum of its proper divisors (472368219).

820428741 is a wasteful number, since it uses less digits than its factorization.

820428741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287176 (or 8287173 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 820428741 is about 28643.1272908529. The cubic root of 820428741 is about 936.1532628988.

The spelling of 820428741 in words is "eight hundred twenty million, four hundred twenty-eight thousand, seven hundred forty-one".