328787708400 has 360 divisors, whose sum is σ = 1172667538224. Its totient is φ = 85256294400.

The previous prime is 328787708393. The next prime is 328787708407. The reversal of 328787708400 is 4807787823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328787708393) and next prime (328787708407).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328787708407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46785687 + ... + 46792713.

Almost surely, 2^328787708400 is an apocalyptic number.

328787708400 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 328787708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586333769112).

328787708400 is an abundant number, since it is smaller than the sum of its proper divisors (843879829824).

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

328787708400 is a wasteful number, since it uses less digits than its factorization.

328787708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 328787708400 in words is "three hundred twenty-eight billion, seven hundred eighty-seven million, seven hundred eight thousand, four hundred".