160728828100 has 81 divisors (see below), whose sum is σ = 356778595047. Its totient is φ = 62849858880.

The previous prime is 160728828059. The next prime is 160728828109. The reversal of 160728828100 is 1828827061.

The square root of 160728828100 is 400910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 64271376324 + 96457451776 = 253518^2 + 310576^2 .

It is a super-2 number, since 2×160728828100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (160728828109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188427274 + ... + 188428126.

Almost surely, 2^160728828100 is an apocalyptic number.

160728828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

160728828100 is the 400910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160728828100

160728828100 is an abundant number, since it is smaller than the sum of its proper divisors (196049766947).

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

160728828100 is an frugal number, since it uses more digits than its factorization.

160728828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 43.

The spelling of 160728828100 in words is "one hundred sixty billion, seven hundred twenty-eight million, eight hundred twenty-eight thousand, one hundred".