28820664000 has 896 divisors, whose sum is σ = 112975948800. Its totient is φ = 7180185600.

The previous prime is 28820663983. The next prime is 28820664017. The reversal of 28820664000 is 46602882.

28820664000 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 0 + 6 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28820663983) and next prime (28820664017).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 269351947 + ... + 269352053.

Almost surely, 2^28820664000 is an apocalyptic number.

28820664000 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 28820664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56487974400).

28820664000 is an abundant number, since it is smaller than the sum of its proper divisors (84155284800).

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

28820664000 is a wasteful number, since it uses less digits than its factorization.

28820664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 28820664000 in words is "twenty-eight billion, eight hundred twenty million, six hundred sixty-four thousand".