328887840 has 96 divisors (see below), whose sum is σ = 1071766080. Its totient is φ = 84675584.

The previous prime is 328887827. The next prime is 328887847. The reversal of 328887840 is 48788823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×328887840² = 216334422599731200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 328887840.

It is not an unprimeable number, because it can be changed into a prime (328887847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 25733.

It is an arithmetic number, because the mean of its divisors is an integer number (11164230).

Almost surely, 2^328887840 is an apocalyptic number.

328887840 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 328887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535883040).

328887840 is an abundant number, since it is smaller than the sum of its proper divisors (742878240).

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

328887840 is a wasteful number, since it uses less digits than its factorization.

328887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23674 (or 23666 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 328887840 is about 18135.2650931824. The cubic root of 328887840 is about 690.2651365020.

The spelling of 328887840 in words is "three hundred twenty-eight million, eight hundred eighty-seven thousand, eight hundred forty".