1516728100 has 72 divisors (see below), whose sum is σ = 3636517248. Its totient is φ = 546163200.

The previous prime is 1516728097. The next prime is 1516728119. The reversal of 1516728100 is 18276151.

It is a super-2 number, since 2×1516728100² = 4600928258659220000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19705 + ... + 58495.

It is an arithmetic number, because the mean of its divisors is an integer number (50507184).

Almost surely, 2^1516728100 is an apocalyptic number.

1516728100 is a gapful number since it is divisible by the number (10) 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 1516728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818258624).

1516728100 is an abundant number, since it is smaller than the sum of its proper divisors (2119789148).

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

1516728100 is a wasteful number, since it uses less digits than its factorization.

1516728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38845 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 1516728100 is about 38945.1935416939. The cubic root of 1516728100 is about 1148.9538311850.

The spelling of 1516728100 in words is "one billion, five hundred sixteen million, seven hundred twenty-eight thousand, one hundred".