28978252900 has 81 divisors (see below), whose sum is σ = 65237089099. Its totient is φ = 11172535360.

The previous prime is 28978252829. The next prime is 28978252903. The reversal of 28978252900 is 925287982.

It is a happy number.

The square root of 28978252900 is 170230.

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 398321764 + 28579931136 = 19958^2 + 169056^2 .

It is a super-2 number, since 2×28978252900² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28978252903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49366407 + ... + 49366993.

Almost surely, 2^28978252900 is an apocalyptic number.

28978252900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28978252900 is the 170230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28978252900

28978252900 is an abundant number, since it is smaller than the sum of its proper divisors (36258836199).

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

28978252900 is an equidigital number, since it uses as much as digits as its factorization.

28978252900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 28978252900 in words is "twenty-eight billion, nine hundred seventy-eight million, two hundred fifty-two thousand, nine hundred".