28966204800 has 1536 divisors, whose sum is σ = 127173110400. Its totient is φ = 6370099200.

The previous prime is 28966204789. The next prime is 28966204801. The reversal of 28966204800 is 840266982.

28966204800 is a `hidden beast` number, since 28 + 96 + 62 + 0 + 480 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28966204801) 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, 706492780 + ... + 706492820.

Almost surely, 2^28966204800 is an apocalyptic number.

28966204800 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 28966204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63586555200).

28966204800 is an abundant number, since it is smaller than the sum of its proper divisors (98206905600).

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

28966204800 is a wasteful number, since it uses less digits than its factorization.

28966204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28966204800 in words is "twenty-eight billion, nine hundred sixty-six million, two hundred four thousand, eight hundred".