28784808000 has 1344 divisors, whose sum is σ = 123577429248. Its totient is φ = 6569164800.

The previous prime is 28784807951. The next prime is 28784808007. The reversal of 28784808000 is 80848782.

28784808000 is a `hidden beast` number, since 28 + 78 + 480 + 80 + 0 + 0 = 666.

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 (28784808007) 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, 429623967 + ... + 429624033.

It is an arithmetic number, because the mean of its divisors is an integer number (91947492).

Almost surely, 2^28784808000 is an apocalyptic number.

28784808000 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 28784808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61788714624).

28784808000 is an abundant number, since it is smaller than the sum of its proper divisors (94792621248).

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

28784808000 is a wasteful number, since it uses less digits than its factorization.

28784808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 28784808000 in words is "twenty-eight billion, seven hundred eighty-four million, eight hundred eight thousand".