412867728 has 240 divisors, whose sum is σ = 1453379200. Its totient is φ = 108718848.

The previous prime is 412867643. The next prime is 412867747. The reversal of 412867728 is 827768214.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641775 + ... + 642417.

Almost surely, 2^412867728 is an apocalyptic number.

412867728 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 412867728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726689600).

412867728 is an abundant number, since it is smaller than the sum of its proper divisors (1040511472).

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

412867728 is a wasteful number, since it uses less digits than its factorization.

412867728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 668 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 412867728 is about 20319.1468324829. The cubic root of 412867728 is about 744.6239129959.

It can be divided in two parts, 412867 and 728, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 412867728 in words is "four hundred twelve million, eight hundred sixty-seven thousand, seven hundred twenty-eight".