352442628 has 72 divisors (see below), whose sum is σ = 953272320. Its totient is φ = 109460160.

The previous prime is 352442617. The next prime is 352442641. The reversal of 352442628 is 826244253.

352442628 is a `hidden beast` number, since 3 + 5 + 24 + 4 + 2 + 628 = 666.

352442628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352442592 and 352442601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37501 + ... + 45947.

Almost surely, 2^352442628 is an apocalyptic number.

352442628 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 352442628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476636160).

352442628 is an abundant number, since it is smaller than the sum of its proper divisors (600829692).

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

352442628 is a wasteful number, since it uses less digits than its factorization.

352442628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8537 (or 8532 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 352442628 is about 18773.4554091675. The cubic root of 352442628 is about 706.3654959469.

The spelling of 352442628 in words is "three hundred fifty-two million, four hundred forty-two thousand, six hundred twenty-eight".