28964636100 has 405 divisors, whose sum is σ = 98634919383. Its totient is φ = 7352208000.

The previous prime is 28964636087. The next prime is 28964636117. The reversal of 28964636100 is 163646982.

The square root of 28964636100 is 170190.

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

28964636100 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 4 + 636 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13341636036 + 15623000064 = 115506^2 + 124992^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 474830070 + ... + 474830130.

Almost surely, 2^28964636100 is an apocalyptic number.

28964636100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28964636100 is the 170190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28964636100

28964636100 is an abundant number, since it is smaller than the sum of its proper divisors (69670283283).

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

28964636100 is a wasteful number, since it uses less digits than its factorization.

28964636100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 28964636100 in words is "twenty-eight billion, nine hundred sixty-four million, six hundred thirty-six thousand, one hundred".