87562728100 has 81 divisors (see below), whose sum is σ = 192344549187. Its totient is φ = 34600164480.

The previous prime is 87562728073. The next prime is 87562728109. The reversal of 87562728100 is 182726578.

The square root of 87562728100 is 295910.

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 17244417124 + 70318310976 = 131318^2 + 265176^2 .

It is a super-2 number, since 2×87562728100² (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 (87562728109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375805584 + ... + 375805816.

Almost surely, 2^87562728100 is an apocalyptic number.

87562728100 is the 295910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87562728100

87562728100 is an abundant number, since it is smaller than the sum of its proper divisors (104781821087).

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

87562728100 is a wasteful number, since it uses less digits than its factorization.

87562728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 87562728100 in words is "eighty-seven billion, five hundred sixty-two million, seven hundred twenty-eight thousand, one hundred".