328390272 has 192 divisors, whose sum is σ = 1090714560. Its totient is φ = 92897280.

The previous prime is 328390259. The next prime is 328390273. The reversal of 328390272 is 272093823.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328390273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1556247 + ... + 1556457.

It is an arithmetic number, because the mean of its divisors is an integer number (5680805).

Almost surely, 2^328390272 is an apocalyptic number.

328390272 is a gapful number since it is divisible by the number (32) 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 328390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545357280).

328390272 is an abundant number, since it is smaller than the sum of its proper divisors (762324288).

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

328390272 is a wasteful number, since it uses less digits than its factorization.

328390272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 328390272 is about 18121.5416562720. The cubic root of 328390272 is about 689.9168645899.

The spelling of 328390272 in words is "three hundred twenty-eight million, three hundred ninety thousand, two hundred seventy-two".