28947973600 has 576 divisors, whose sum is σ = 91386150912. Its totient is φ = 8709120000.

The previous prime is 28947973597. The next prime is 28947973619. The reversal of 28947973600 is 637974982.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 227936737 + ... + 227936863.

It is an arithmetic number, because the mean of its divisors is an integer number (158656512).

Almost surely, 2^28947973600 is an apocalyptic number.

28947973600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28947973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45693075456).

28947973600 is an abundant number, since it is smaller than the sum of its proper divisors (62438177312).

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

28947973600 is a wasteful number, since it uses less digits than its factorization.

28947973600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 28947973600 in words is "twenty-eight billion, nine hundred forty-seven million, nine hundred seventy-three thousand, six hundred".