328749840 has 160 divisors (see below), whose sum is σ = 1146950400. Its totient is φ = 87619968.

The previous prime is 328749797. The next prime is 328749851. The reversal of 328749840 is 48947823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174021 + ... + 175899.

It is an arithmetic number, because the mean of its divisors is an integer number (7168440).

Almost surely, 2^328749840 is an apocalyptic number.

328749840 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 328749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573475200).

328749840 is an abundant number, since it is smaller than the sum of its proper divisors (818200560).

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

328749840 is an equidigital number, since it uses as much as digits as its factorization.

328749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 328749840 is about 18131.4599522487. The cubic root of 328749840 is about 690.1685788477.

The spelling of 328749840 in words is "three hundred twenty-eight million, seven hundred forty-nine thousand, eight hundred forty".