328122600 has 384 divisors, whose sum is σ = 1199923200. Its totient is φ = 73497600.

The previous prime is 328122583. The next prime is 328122601. The reversal of 328122600 is 6221823.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328122601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5561371 + ... + 5561429.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^328122600 is an apocalyptic number.

328122600 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 328122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

328122600 is an abundant number, since it is smaller than the sum of its proper divisors (871800600).

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

328122600 is a wasteful number, since it uses less digits than its factorization.

328122600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 328122600 is about 18114.1546863220. The cubic root of 328122600 is about 689.7293624612.

The spelling of 328122600 in words is "three hundred twenty-eight million, one hundred twenty-two thousand, six hundred".