328633728 has 128 divisors (see below), whose sum is σ = 949171200. Its totient is φ = 100362240.

The previous prime is 328633693. The next prime is 328633763. The reversal of 328633728 is 827336823.

It is an interprime number because it is at equal distance from previous prime (328633693) and next prime (328633763).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×328633728³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 328633728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225450 + ... + 226902.

It is an arithmetic number, because the mean of its divisors is an integer number (7415400).

Almost surely, 2^328633728 is an apocalyptic number.

328633728 is a gapful number since it is divisible by the number (38) 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 328633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474585600).

328633728 is an abundant number, since it is smaller than the sum of its proper divisors (620537472).

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

328633728 is a wasteful number, since it uses less digits than its factorization.

328633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1508 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 328633728 is about 18128.2577210277. The cubic root of 328633728 is about 690.0873151423.

The spelling of 328633728 in words is "three hundred twenty-eight million, six hundred thirty-three thousand, seven hundred twenty-eight".