328633922400 has 864 divisors, whose sum is σ = 1312341004800. Its totient is φ = 69955092480.

The previous prime is 328633922387. The next prime is 328633922413. The reversal of 328633922400 is 4229336823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328633922387) and next prime (328633922413).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 548637301 + ... + 548637899.

It is an arithmetic number, because the mean of its divisors is an integer number (1518913200).

Almost surely, 2^328633922400 is an apocalyptic number.

328633922400 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 328633922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656170502400).

328633922400 is an abundant number, since it is smaller than the sum of its proper divisors (983707082400).

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

328633922400 is a wasteful number, since it uses less digits than its factorization.

328633922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 328633922400 in words is "three hundred twenty-eight billion, six hundred thirty-three million, nine hundred twenty-two thousand, four hundred".