328126464 has 260 divisors, whose sum is σ = 1046613216. Its totient is φ = 102187008.

The previous prime is 328126439. The next prime is 328126481. The reversal of 328126464 is 464621823.

328126464 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 2 + 646 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7630827 + ... + 7630869.

Almost surely, 2^328126464 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 328126464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523306608).

328126464 is an abundant number, since it is smaller than the sum of its proper divisors (718486752).

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

328126464 is an equidigital number, since it uses as much as digits as its factorization.

328126464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 328126464 is about 18114.2613429309. The cubic root of 328126464 is about 689.7320698880.

It can be divided in two parts, 32 and 8126464, that added together give a triangular number (8126496 = T₄₀₃₁).

The spelling of 328126464 in words is "three hundred twenty-eight million, one hundred twenty-six thousand, four hundred sixty-four".