396628128 has 216 divisors, whose sum is σ = 1267959420. Its totient is φ = 117411840.

The previous prime is 396628109. The next prime is 396628151. The reversal of 396628128 is 821826693.

396628128 is a `hidden beast` number, since 3 + 9 + 6 + 628 + 12 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 90098064 + 306530064 = 9492^2 + 17508^2 .

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 35 ways as a sum of consecutive naturals, for example, 1411348 + ... + 1411628.

Almost surely, 2^396628128 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 396628128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633979710).

396628128 is an abundant number, since it is smaller than the sum of its proper divisors (871331292).

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

396628128 is a wasteful number, since it uses less digits than its factorization.

396628128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 328 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 396628128 is about 19915.5247985083. The cubic root of 396628128 is about 734.7301077659.

The spelling of 396628128 in words is "three hundred ninety-six million, six hundred twenty-eight thousand, one hundred twenty-eight".