396296928 has 96 divisors (see below), whose sum is σ = 1223903520. Its totient is φ = 124323840.

The previous prime is 396296921. The next prime is 396296941. The reversal of 396296928 is 829692693.

396296928 is a `hidden beast` number, since 3 + 9 + 629 + 6 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396296921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198 + ... + 28178.

It is an arithmetic number, because the mean of its divisors is an integer number (12748995).

Almost surely, 2^396296928 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 396296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611951760).

396296928 is an abundant number, since it is smaller than the sum of its proper divisors (827606592).

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

396296928 is a wasteful number, since it uses less digits than its factorization.

396296928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27017 (or 27003 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 396296928 is about 19907.2079408439. The cubic root of 396296928 is about 734.5255413559.

The spelling of 396296928 in words is "three hundred ninety-six million, two hundred ninety-six thousand, nine hundred twenty-eight".