287928828100 has 81 divisors (see below), whose sum is σ = 653432205223. Its totient is φ = 110116853440.

The previous prime is 287928828071. The next prime is 287928828107. The reversal of 287928828100 is 1828829782.

The square root of 287928828100 is 536590.

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 25522618564 + 262406209536 = 159758^2 + 512256^2 .

It is a super-2 number, since 2×287928828100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287928828107) 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, 123414534 + ... + 123416866.

Almost surely, 2^287928828100 is an apocalyptic number.

287928828100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

287928828100 is the 536590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287928828100

287928828100 is an abundant number, since it is smaller than the sum of its proper divisors (365503377123).

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

287928828100 is an equidigital number, since it uses as much as digits as its factorization.

287928828100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4726 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 55.

The spelling of 287928828100 in words is "two hundred eighty-seven billion, nine hundred twenty-eight million, eight hundred twenty-eight thousand, one hundred".