28768732900 has 144 divisors (see below), whose sum is σ = 65599801344. Its totient is φ = 10940065920.

The previous prime is 28768732897. The next prime is 28768732901. The reversal of 28768732900 is 923786782.

It is not an unprimeable number, because it can be changed into a prime (28768732901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57194049 + ... + 57194551.

It is an arithmetic number, because the mean of its divisors is an integer number (455554176).

Almost surely, 2^28768732900 is an apocalyptic number.

28768732900 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 28768732900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32799900672).

28768732900 is an abundant number, since it is smaller than the sum of its proper divisors (36831068444).

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

28768732900 is a wasteful number, since it uses less digits than its factorization.

28768732900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 28768732900 in words is "twenty-eight billion, seven hundred sixty-eight million, seven hundred thirty-two thousand, nine hundred".