328863600 has 180 divisors, whose sum is σ = 1229211256. Its totient is φ = 80939520.

The previous prime is 328863553. The next prime is 328863629. The reversal of 328863600 is 6368823.

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43287 + ... + 50313.

Almost surely, 2^328863600 is an apocalyptic number.

328863600 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 328863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614605628).

328863600 is an abundant number, since it is smaller than the sum of its proper divisors (900347656).

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

328863600 is a wasteful number, since it uses less digits than its factorization.

328863600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 328863600 is about 18134.5967697107. The cubic root of 328863600 is about 690.2481778959.

The spelling of 328863600 in words is "three hundred twenty-eight million, eight hundred sixty-three thousand, six hundred".