328217400 has 384 divisors, whose sum is σ = 1363008000. Its totient is φ = 70917120.

The previous prime is 328217387. The next prime is 328217437. The reversal of 328217400 is 4712823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 717972 + ... + 718428.

It is an arithmetic number, because the mean of its divisors is an integer number (3549500).

Almost surely, 2^328217400 is an apocalyptic number.

328217400 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 328217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681504000).

328217400 is an abundant number, since it is smaller than the sum of its proper divisors (1034790600).

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

328217400 is a wasteful number, since it uses less digits than its factorization.

328217400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 328217400 is about 18116.7712355154. The cubic root of 328217400 is about 689.7957807730.

The spelling of 328217400 in words is "three hundred twenty-eight million, two hundred seventeen thousand, four hundred".