328983552 has 176 divisors, whose sum is σ = 993695680. Its totient is φ = 107495424.

The previous prime is 328983533. The next prime is 328983581. The reversal of 328983552 is 255389823.

328983552 is a `hidden beast` number, since 3 + 2 + 8 + 98 + 3 + 552 = 666.

It is a super-3 number, since 3×328983552³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 328983498 and 328983507.

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, 2018223 + ... + 2018385.

Almost surely, 2^328983552 is an apocalyptic number.

328983552 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 328983552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496847840).

328983552 is an abundant number, since it is smaller than the sum of its proper divisors (664712128).

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

328983552 is a wasteful number, since it uses less digits than its factorization.

328983552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 328983552 is about 18137.9037377532. The cubic root of 328983552 is about 690.3320896705.

The spelling of 328983552 in words is "three hundred twenty-eight million, nine hundred eighty-three thousand, five hundred fifty-two".