328826400 has 432 divisors, whose sum is σ = 1313290944. Its totient is φ = 69949440.

The previous prime is 328826387. The next prime is 328826453. The reversal of 328826400 is 4628823.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8887182 + ... + 8887218.

Almost surely, 2^328826400 is an apocalyptic number.

328826400 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 328826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656645472).

328826400 is an abundant number, since it is smaller than the sum of its proper divisors (984464544).

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

328826400 is a wasteful number, since it uses less digits than its factorization.

328826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 328826400 is about 18133.5710768729. The cubic root of 328826400 is about 690.2221506915. Note that the first 3 decimals are identical.

The spelling of 328826400 in words is "three hundred twenty-eight million, eight hundred twenty-six thousand, four hundred".