411728292 has 48 divisors (see below), whose sum is σ = 1075273920. Its totient is φ = 136236096.

The previous prime is 411728281. The next prime is 411728297. The reversal of 411728292 is 292827114.

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

It is not an unprimeable number, because it can be changed into a prime (411728297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883 + ... + 28709.

It is an arithmetic number, because the mean of its divisors is an integer number (22401540).

Almost surely, 2^411728292 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 411728292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537636960).

411728292 is an abundant number, since it is smaller than the sum of its proper divisors (663545628).

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

411728292 is a wasteful number, since it uses less digits than its factorization.

411728292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27977 (or 27969 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 411728292 is about 20291.0889801410. The cubic root of 411728292 is about 743.9382753163.

The spelling of 411728292 in words is "four hundred eleven million, seven hundred twenty-eight thousand, two hundred ninety-two".