396361728 has 176 divisors, whose sum is σ = 1342176960. Its totient is φ = 113246208.

The previous prime is 396361703. The next prime is 396361739. The reversal of 396361728 is 827163693.

396361728 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 617 + 28 = 666.

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

Its product of digits (326592) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56623101 + ... + 56623107.

Almost surely, 2^396361728 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 396361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671088480).

396361728 is an abundant number, since it is smaller than the sum of its proper divisors (945815232).

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

396361728 is an frugal number, since it uses more digits than its factorization.

396361728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 396361728 is about 19908.8354255089. The cubic root of 396361728 is about 734.5655741846.

The spelling of 396361728 in words is "three hundred ninety-six million, three hundred sixty-one thousand, seven hundred twenty-eight".