328828032 has 192 divisors, whose sum is σ = 1052762400. Its totient is φ = 100998144.

The previous prime is 328828001. The next prime is 328828037. The reversal of 328828032 is 230828823.

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 not an unprimeable number, because it can be changed into a prime (328828037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583783 + ... + 584345.

Almost surely, 2^328828032 is an apocalyptic number.

328828032 is a gapful number since it is divisible by the number (32) 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 328828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526381200).

328828032 is an abundant number, since it is smaller than the sum of its proper divisors (723934368).

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

328828032 is a wasteful number, since it uses less digits than its factorization.

328828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328828032 is about 18133.6160762270. The cubic root of 328828032 is about 690.2232925713.

The spelling of 328828032 in words is "three hundred twenty-eight million, eight hundred twenty-eight thousand, thirty-two".