328458900 has 288 divisors, whose sum is σ = 1209922560. Its totient is φ = 66816000.

The previous prime is 328458899. The next prime is 328458931. The reversal of 328458900 is 9854823.

It is a happy number.

328458900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

328458900 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362780 + ... + 1363020.

It is an arithmetic number, because the mean of its divisors is an integer number (4201120).

Almost surely, 2^328458900 is an apocalyptic number.

328458900 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 328458900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604961280).

328458900 is an abundant number, since it is smaller than the sum of its proper divisors (881463660).

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

328458900 is a wasteful number, since it uses less digits than its factorization.

328458900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 328458900 is about 18123.4351048580. The cubic root of 328458900 is about 689.9649215521.

The spelling of 328458900 in words is "three hundred twenty-eight million, four hundred fifty-eight thousand, nine hundred".