342505728 has 108 divisors (see below), whose sum is σ = 1004129308. Its totient is φ = 112250880.

The previous prime is 342505721. The next prime is 342505741. The reversal of 342505728 is 827505243.

342505728 is a `hidden beast` number, since 34 + 2 + 50 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160579584 + 181926144 = 12672^2 + 13488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 342505692 and 342505701.

It is not an unprimeable number, because it can be changed into a prime (342505721) 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, 139326 + ... + 141762.

Almost surely, 2^342505728 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 342505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502064654).

342505728 is an abundant number, since it is smaller than the sum of its proper divisors (661623580).

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

342505728 is a wasteful number, since it uses less digits than its factorization.

342505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 342505728 is about 18506.9102769749. The cubic root of 342505728 is about 699.6635989048.

The spelling of 342505728 in words is "three hundred forty-two million, five hundred five thousand, seven hundred twenty-eight".