28616976000 has 640 divisors, whose sum is σ = 108127768320. Its totient is φ = 7499520000.

The previous prime is 28616975983. The next prime is 28616976013. The reversal of 28616976000 is 67961682.

28616976000 is a `hidden beast` number, since 28 + 6 + 16 + 9 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92015845 + ... + 92016155.

It is an arithmetic number, because the mean of its divisors is an integer number (168949638).

Almost surely, 2^28616976000 is an apocalyptic number.

28616976000 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 28616976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54063884160).

28616976000 is an abundant number, since it is smaller than the sum of its proper divisors (79510792320).

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

28616976000 is an equidigital number, since it uses as much as digits as its factorization.

28616976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28616976000 in words is "twenty-eight billion, six hundred sixteen million, nine hundred seventy-six thousand".