411841728 has 168 divisors, whose sum is σ = 1263133872. Its totient is φ = 127844352.

The previous prime is 411841687. The next prime is 411841733. The reversal of 411841728 is 827148114.

It is a super-2 number, since 2×411841728² = 339227217844051968, which contains 22 as substring.

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 = 411841692 and 411841701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1341351 + ... + 1341657.

It is an arithmetic number, because the mean of its divisors is an integer number (7518654).

Almost surely, 2^411841728 is an apocalyptic number.

411841728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631566936).

411841728 is an abundant number, since it is smaller than the sum of its proper divisors (851292144).

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

411841728 is a wasteful number, since it uses less digits than its factorization.

411841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 466 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 411841728 is about 20293.8840047932. The cubic root of 411841728 is about 744.0065902989.

The spelling of 411841728 in words is "four hundred eleven million, eight hundred forty-one thousand, seven hundred twenty-eight".