28052900100 has 135 divisors (see below), whose sum is σ = 90985310031. Its totient is φ = 7476753600.

The previous prime is 28052900077. The next prime is 28052900123. The reversal of 28052900100 is 100925082.

The square root of 28052900100 is 167490.

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

It is an interprime number because it is at equal distance from previous prime (28052900077) and next prime (28052900123).

It can be written as a sum of positive squares in 4 ways, for example, as 17063151876 + 10989748224 = 130626^2 + 104832^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15073170 + ... + 15075030.

Almost surely, 2^28052900100 is an apocalyptic number.

28052900100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28052900100 is the 167490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28052900100

28052900100 is an abundant number, since it is smaller than the sum of its proper divisors (62932409931).

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

28052900100 is an equidigital number, since it uses as much as digits as its factorization.

28052900100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 28052900100 in words is "twenty-eight billion, fifty-two million, nine hundred thousand, one hundred".