328250124133200 has 720 divisors, whose sum is σ = 1203441886932480. Its totient is φ = 82624558187520.

The previous prime is 328250124133157. The next prime is 328250124133229. The reversal of 328250124133200 is 2331421052823.

328250124133200 is a `hidden beast` number, since 3 + 2 + 8 + 25 + 0 + 12 + 413 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×328250124133200² (a number of 30 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 36622791919 + ... + 36622800881.

It is an arithmetic number, because the mean of its divisors is an integer number (1671447065184).

Almost surely, 2^{328250124133200} is an apocalyptic number.

328250124133200 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 328250124133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601720943466240).

328250124133200 is an abundant number, since it is smaller than the sum of its proper divisors (875191762799280).

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

328250124133200 is a wasteful number, since it uses less digits than its factorization.

328250124133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 328250124133200 in words is "three hundred twenty-eight trillion, two hundred fifty billion, one hundred twenty-four million, one hundred thirty-three thousand, two hundred".