328400640 has 216 divisors, whose sum is σ = 1176608160. Its totient is φ = 84467712.

The previous prime is 328400627. The next prime is 328400671. The reversal of 328400640 is 46004823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333589 + ... + 334571.

It is an arithmetic number, because the mean of its divisors is an integer number (5447260).

Almost surely, 2^328400640 is an apocalyptic number.

328400640 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 328400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588304080).

328400640 is an abundant number, since it is smaller than the sum of its proper divisors (848207520).

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

328400640 is a wasteful number, since it uses less digits than its factorization.

328400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 328400640 is about 18121.8277223905. The cubic root of 328400640 is about 689.9241252422.

The spelling of 328400640 in words is "three hundred twenty-eight million, four hundred thousand, six hundred forty".