328872600 has 288 divisors, whose sum is σ = 1293726720. Its totient is φ = 73301760.

The previous prime is 328872581. The next prime is 328872611. The reversal of 328872600 is 6278823.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 541497 + ... + 542103.

Almost surely, 2^328872600 is an apocalyptic number.

328872600 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 328872600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646863360).

328872600 is an abundant number, since it is smaller than the sum of its proper divisors (964854120).

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

328872600 is a wasteful number, since it uses less digits than its factorization.

328872600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 328872600 is about 18134.8449124882. The cubic root of 328872600 is about 690.2544745053.

The spelling of 328872600 in words is "three hundred twenty-eight million, eight hundred seventy-two thousand, six hundred".