328361040 has 480 divisors, whose sum is σ = 1386577920. Its totient is φ = 70543872.

The previous prime is 328361027. The next prime is 328361053. The reversal of 328361040 is 40163823.

It is a happy number.

328361040 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 610 + 40 = 666.

328361040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328361027) and next prime (328361053).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 328360995 and 328361013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585457 + ... + 2585583.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2^328361040 is an apocalyptic number.

328361040 is a gapful number since it is divisible by the number (30) 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 328361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693288960).

328361040 is an abundant number, since it is smaller than the sum of its proper divisors (1058216880).

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

328361040 is a wasteful number, since it uses less digits than its factorization.

328361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328361040 is about 18120.7350844275. The cubic root of 328361040 is about 689.8963927612.

The spelling of 328361040 in words is "three hundred twenty-eight million, three hundred sixty-one thousand, forty".