356041728 has 132 divisors (see below), whose sum is σ = 1175141760. Its totient is φ = 101707776.

The previous prime is 356041723. The next prime is 356041733. The reversal of 356041728 is 827140653.

356041728 is a `hidden beast` number, since 35 + 604 + 17 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (356041723) and next prime (356041733).

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 = 356041692 and 356041701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356041723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61753 + ... + 67271.

Almost surely, 2^356041728 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 356041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587570880).

356041728 is an abundant number, since it is smaller than the sum of its proper divisors (819100032).

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

356041728 is a wasteful number, since it uses less digits than its factorization.

356041728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5552 (or 5531 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 356041728 is about 18869.0680215002. The cubic root of 356041728 is about 708.7617961326.

The spelling of 356041728 in words is "three hundred fifty-six million, forty-one thousand, seven hundred twenty-eight".