396016128 has 140 divisors (see below), whose sum is σ = 1187463618. Its totient is φ = 131880960.

The previous prime is 396016081. The next prime is 396016129. The reversal of 396016128 is 821610693.

396016128 is a `hidden beast` number, since 39 + 6 + 0 + 1 + 612 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 313714944 + 82301184 = 17712^2 + 9072^2 .

It is a super-2 number, since 2×396016128² = 313657547272224768, 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 = 396016092 and 396016101.

It is not an unprimeable number, because it can be changed into a prime (396016129) 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 13 ways as a sum of consecutive naturals, for example, 372718 + ... + 373778.

Almost surely, 2^396016128 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 396016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593731809).

396016128 is an abundant number, since it is smaller than the sum of its proper divisors (791447490).

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

396016128 is an frugal number, since it uses more digits than its factorization.

396016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 396016128 is about 19900.1539692536. The cubic root of 396016128 is about 734.3520153193.

The spelling of 396016128 in words is "three hundred ninety-six million, sixteen thousand, one hundred twenty-eight".