28795411200 has 432 divisors, whose sum is σ = 99967101696. Its totient is φ = 7285555200.

The previous prime is 28795411163. The next prime is 28795411243. The reversal of 28795411200 is 211459782.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86995035 + ... + 86995365.

It is an arithmetic number, because the mean of its divisors is an integer number (231405328).

Almost surely, 2^28795411200 is an apocalyptic number.

28795411200 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 28795411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49983550848).

28795411200 is an abundant number, since it is smaller than the sum of its proper divisors (71171690496).

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

28795411200 is a wasteful number, since it uses less digits than its factorization.

28795411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 28795411200 in words is "twenty-eight billion, seven hundred ninety-five million, four hundred eleven thousand, two hundred".