328429440 has 192 divisors, whose sum is σ = 1194195600. Its totient is φ = 82944000.

The previous prime is 328429433. The next prime is 328429471. The reversal of 328429440 is 44924823.

328429440 is a `hidden beast` number, since 328 + 4 + 294 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328429395 and 328429404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107940 + ... + 110940.

Almost surely, 2^328429440 is an apocalyptic number.

328429440 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 328429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597097800).

328429440 is an abundant number, since it is smaller than the sum of its proper divisors (865766160).

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

328429440 is a wasteful number, since it uses less digits than its factorization.

328429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 328429440 is about 18122.6223268047. The cubic root of 328429440 is about 689.9442929191.

The spelling of 328429440 in words is "three hundred twenty-eight million, four hundred twenty-nine thousand, four hundred forty".