328448701440 has 880 divisors, whose sum is σ = 1258091440320. Its totient is φ = 81696522240.

The previous prime is 328448701423. The next prime is 328448701453. The reversal of 328448701440 is 44107844823.

328448701440 is a `hidden beast` number, since 3 + 28 + 4 + 487 + 0 + 144 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 575216355 + ... + 575216925.

It is an arithmetic number, because the mean of its divisors is an integer number (1429649364).

Almost surely, 2^328448701440 is an apocalyptic number.

328448701440 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 328448701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629045720160).

328448701440 is an abundant number, since it is smaller than the sum of its proper divisors (929642738880).

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

328448701440 is a wasteful number, since it uses less digits than its factorization.

328448701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 328448701440 in words is "three hundred twenty-eight billion, four hundred forty-eight million, seven hundred one thousand, four hundred forty".