352534728 has 256 divisors, whose sum is σ = 1156055040. Its totient is φ = 87091200.

The previous prime is 352534727. The next prime is 352534757. The reversal of 352534728 is 827435253.

352534728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (201600) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (352534727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775801 + ... + 2775927.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^352534728 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 352534728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578027520).

352534728 is an abundant number, since it is smaller than the sum of its proper divisors (803520312).

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

352534728 is a wasteful number, since it uses less digits than its factorization.

352534728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 352534728 is about 18775.9081804316. The cubic root of 352534728 is about 706.4270195264.

The spelling of 352534728 in words is "three hundred fifty-two million, five hundred thirty-four thousand, seven hundred twenty-eight".