413828328 has 64 divisors (see below), whose sum is σ = 1094860800. Its totient is φ = 130074560.

The previous prime is 413828323. The next prime is 413828329. The reversal of 413828328 is 823828314.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (413828321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33913 + ... + 44471.

It is an arithmetic number, because the mean of its divisors is an integer number (17107200).

Almost surely, 2^413828328 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 413828328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547430400).

413828328 is an abundant number, since it is smaller than the sum of its proper divisors (681032472).

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

413828328 is a wasteful number, since it uses less digits than its factorization.

413828328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662 (or 10658 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 413828328 is about 20342.7709027064. The cubic root of 413828328 is about 745.2009595556.

The spelling of 413828328 in words is "four hundred thirteen million, eight hundred twenty-eight thousand, three hundred twenty-eight".