28776984600 has 1152 divisors, whose sum is σ = 122257175040. Its totient is φ = 5527388160.

The previous prime is 28776984581. The next prime is 28776984601. The reversal of 28776984600 is 648967782.

It is a super-2 number, since 2×28776984600² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28776984601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 279388149 + ... + 279388251.

It is an arithmetic number, because the mean of its divisors is an integer number (106126020).

Almost surely, 2^28776984600 is an apocalyptic number.

28776984600 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 28776984600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61128587520).

28776984600 is an abundant number, since it is smaller than the sum of its proper divisors (93480190440).

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

28776984600 is a wasteful number, since it uses less digits than its factorization.

28776984600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 28776984600 in words is "twenty-eight billion, seven hundred seventy-six million, nine hundred eighty-four thousand, six hundred".