352519328 has 72 divisors (see below), whose sum is σ = 810819072. Its totient is φ = 150428544.

The previous prime is 352519301. The next prime is 352519351. The reversal of 352519328 is 823915253.

It is a super-2 number, since 2×352519328² = 248539753227143168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352519291 and 352519300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600251 + ... + 600837.

It is an arithmetic number, because the mean of its divisors is an integer number (11261376).

Almost surely, 2^352519328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352519328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

352519328 is an abundant number, since it is smaller than the sum of its proper divisors (458299744).

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

352519328 is a wasteful number, since it uses less digits than its factorization.

352519328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 979 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 352519328 is about 18775.4980759499. The cubic root of 352519328 is about 706.4167329422.

The spelling of 352519328 in words is "three hundred fifty-two million, five hundred nineteen thousand, three hundred twenty-eight".