328253794920 has 768 divisors, whose sum is σ = 1206507052800. Its totient is φ = 79313633280.

The previous prime is 328253794909. The next prime is 328253794931. The reversal of 328253794920 is 29497352823.

328253794920 is a `hidden beast` number, since 3 + 2 + 82 + 5 + 3 + 79 + 492 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (328253794909) and next prime (328253794931).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1446051847 + ... + 1446052073.

It is an arithmetic number, because the mean of its divisors is an integer number (1570972725).

Almost surely, 2^328253794920 is an apocalyptic number.

328253794920 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 328253794920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603253526400).

328253794920 is an abundant number, since it is smaller than the sum of its proper divisors (878253257880).

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

328253794920 is a wasteful number, since it uses less digits than its factorization.

328253794920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 328253794920 in words is "three hundred twenty-eight billion, two hundred fifty-three million, seven hundred ninety-four thousand, nine hundred twenty".