271628352 has 84 divisors (see below), whose sum is σ = 781154140. Its totient is φ = 90243072.

The previous prime is 271628347. The next prime is 271628353. The reversal of 271628352 is 253826172.

271628352 is a `hidden beast` number, since 27 + 1 + 628 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 38638656 = 15264^2 + 6216^2 .

It is a super-2 number, since 2×271628352² = 147563923220471808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271628353) 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, 235008 + ... + 236160.

Almost surely, 2^271628352 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 271628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390577070).

271628352 is an abundant number, since it is smaller than the sum of its proper divisors (509525788).

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

271628352 is a wasteful number, since it uses less digits than its factorization.

271628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1567 counting only the distinct ones).

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

The square root of 271628352 is about 16481.1514160874. The cubic root of 271628352 is about 647.6271288770.

The spelling of 271628352 in words is "two hundred seventy-one million, six hundred twenty-eight thousand, three hundred fifty-two".