28882563062500 has 567 divisors, whose sum is σ = 76455923480559. Its totient is φ = 9518871600000.

The previous prime is 28882563062467. The next prime is 28882563062501. The reversal of 28882563062500 is 526036528882.

The square root of 28882563062500 is 5374250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 28857588949476 + 24974113024 = 5371926^2 + 158032^2 .

It is not an unprimeable number, because it can be changed into a prime (28882563062501) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 347982687459 + ... + 347982687541.

Almost surely, 2^{28882563062500} is an apocalyptic number.

28882563062500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28882563062500 is the 5374250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28882563062500

28882563062500 is an abundant number, since it is smaller than the sum of its proper divisors (47573360418059).

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

28882563062500 is an frugal number, since it uses more digits than its factorization.

28882563062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 28882563062500 in words is "twenty-eight trillion, eight hundred eighty-two billion, five hundred sixty-three million, sixty-two thousand, five hundred".