28790388000 has 1152 divisors, whose sum is σ = 121426905600. Its totient is φ = 6386688000.

The previous prime is 28790387959. The next prime is 28790388007. The reversal of 28790388000 is 88309782.

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

It is not an unprimeable number, because it can be changed into a prime (28790388007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 264131946 + ... + 264132054.

It is an arithmetic number, because the mean of its divisors is an integer number (105405300).

Almost surely, 2^28790388000 is an apocalyptic number.

28790388000 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 28790388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60713452800).

28790388000 is an abundant number, since it is smaller than the sum of its proper divisors (92636517600).

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

28790388000 is a wasteful number, since it uses less digits than its factorization.

28790388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 28790388000 in words is "twenty-eight billion, seven hundred ninety million, three hundred eighty-eight thousand".